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Finding the Third Proportional to 1,602,165,415,954.60 and 3,436,911,320,694.50

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Solution

The third proportional to 1,602,165,415,954.60 and 3,436,911,320,694.50 is: 7,372,746,477,166.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602,165,415,954.60 : 3,436,911,320,694.50 = 3,436,911,320,694.50 : x
  2. Step 2: Convert to fraction form
    1,602,165,415,954.60/3,436,911,320,694.50 = 3,436,911,320,694.50/x
  3. Step 3: Cross multiply
    1,602,165,415,954.60x = 3,436,911,320,694.50 × 3,436,911,320,694.50
  4. Step 4: Simplify right side
    1,602,165,415,954.60x = 11,812,359,426,318,012,296,200,192
  5. Step 5: Solve for x
    x = 11,812,359,426,318,012,296,200,192/1,602,165,415,954.60
  6. Step 6: Final answer
    x = 7,372,746,477,166.96

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