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Finding the Third Proportional to 524,732,304.50 and 1,148,313,120.50

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Solution

The third proportional to 524,732,304.50 and 1,148,313,120.50 is: 2,512,944,241.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,732,304.50 : 1,148,313,120.50 = 1,148,313,120.50 : x
  2. Step 2: Convert to fraction form
    524,732,304.50/1,148,313,120.50 = 1,148,313,120.50/x
  3. Step 3: Cross multiply
    524,732,304.50x = 1,148,313,120.50 × 1,148,313,120.50
  4. Step 4: Simplify right side
    524,732,304.50x = 1,318,623,022,712,447,488
  5. Step 5: Solve for x
    x = 1,318,623,022,712,447,488/524,732,304.50
  6. Step 6: Final answer
    x = 2,512,944,241.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.