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Finding the Third Proportional to 1,049,541,277.50 and 2,429,752,437

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Solution

The third proportional to 1,049,541,277.50 and 2,429,752,437 is: 5,625,025,934.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049,541,277.50 : 2,429,752,437 = 2,429,752,437 : x
  2. Step 2: Convert to fraction form
    1,049,541,277.50/2,429,752,437 = 2,429,752,437/x
  3. Step 3: Cross multiply
    1,049,541,277.50x = 2,429,752,437 × 2,429,752,437
  4. Step 4: Simplify right side
    1,049,541,277.50x = 5,903,696,905,107,438,592
  5. Step 5: Solve for x
    x = 5,903,696,905,107,438,592/1,049,541,277.50
  6. Step 6: Final answer
    x = 5,625,025,934.35

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.