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Finding the Third Proportional to 1,602,165,415,937.50 and 3,436,911,320,662.20

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Solution

The third proportional to 1,602,165,415,937.50 and 3,436,911,320,662.20 is: 7,372,746,477,107.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602,165,415,937.50 : 3,436,911,320,662.20 = 3,436,911,320,662.20 : x
  2. Step 2: Convert to fraction form
    1,602,165,415,937.50/3,436,911,320,662.20 = 3,436,911,320,662.20/x
  3. Step 3: Cross multiply
    1,602,165,415,937.50x = 3,436,911,320,662.20 × 3,436,911,320,662.20
  4. Step 4: Simplify right side
    1,602,165,415,937.50x = 11,812,359,426,095,988,256,800,768
  5. Step 5: Solve for x
    x = 11,812,359,426,095,988,256,800,768/1,602,165,415,937.50
  6. Step 6: Final answer
    x = 7,372,746,477,107.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.