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Finding the Third Proportional to 4,843,411,750.97 and 7,581,262,237.59

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Solution

The third proportional to 4,843,411,750.97 and 7,581,262,237.59 is: 11,866,746,019.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843,411,750.97 : 7,581,262,237.59 = 7,581,262,237.59 : x
  2. Step 2: Convert to fraction form
    4,843,411,750.97/7,581,262,237.59 = 7,581,262,237.59/x
  3. Step 3: Cross multiply
    4,843,411,750.97x = 7,581,262,237.59 × 7,581,262,237.59
  4. Step 4: Simplify right side
    4,843,411,750.97x = 57,475,537,115,165,745,152
  5. Step 5: Solve for x
    x = 57,475,537,115,165,745,152/4,843,411,750.97
  6. Step 6: Final answer
    x = 11,866,746,019.20

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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.