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Finding the Third Proportional to 4,843,411,753.50 and 7,581,262,240.13

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Solution

The third proportional to 4,843,411,753.50 and 7,581,262,240.13 is: 11,866,746,020.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843,411,753.50 : 7,581,262,240.13 = 7,581,262,240.13 : x
  2. Step 2: Convert to fraction form
    4,843,411,753.50/7,581,262,240.13 = 7,581,262,240.13/x
  3. Step 3: Cross multiply
    4,843,411,753.50x = 7,581,262,240.13 × 7,581,262,240.13
  4. Step 4: Simplify right side
    4,843,411,753.50x = 57,475,537,153,545,134,080
  5. Step 5: Solve for x
    x = 57,475,537,153,545,134,080/4,843,411,753.50
  6. Step 6: Final answer
    x = 11,866,746,020.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.