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Finding the Third Proportional to 273,809,232 and 645,712,480

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Solution

The third proportional to 273,809,232 and 645,712,480 is: 1,522,755,839.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,809,232 : 645,712,480 = 645,712,480 : x
  2. Step 2: Convert to fraction form
    273,809,232/645,712,480 = 645,712,480/x
  3. Step 3: Cross multiply
    273,809,232x = 645,712,480 × 645,712,480
  4. Step 4: Simplify right side
    273,809,232x = 416,944,606,827,750,400
  5. Step 5: Solve for x
    x = 416,944,606,827,750,400/273,809,232
  6. Step 6: Final answer
    x = 1,522,755,839.10

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.