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Finding the Third Proportional to 411,062,565.50 and 959,179,106.50

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Solution

The third proportional to 411,062,565.50 and 959,179,106.50 is: 2,238,161,865.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,062,565.50 : 959,179,106.50 = 959,179,106.50 : x
  2. Step 2: Convert to fraction form
    411,062,565.50/959,179,106.50 = 959,179,106.50/x
  3. Step 3: Cross multiply
    411,062,565.50x = 959,179,106.50 × 959,179,106.50
  4. Step 4: Simplify right side
    411,062,565.50x = 920,024,558,346,138,368
  5. Step 5: Solve for x
    x = 920,024,558,346,138,368/411,062,565.50
  6. Step 6: Final answer
    x = 2,238,161,865.28

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.