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Finding the Third Proportional to 860,909,700,825 and 1,849,581,172,569

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Solution

The third proportional to 860,909,700,825 and 1,849,581,172,569 is: 3,973,646,145,052.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    860,909,700,825 : 1,849,581,172,569 = 1,849,581,172,569 : x
  2. Step 2: Convert to fraction form
    860,909,700,825/1,849,581,172,569 = 1,849,581,172,569/x
  3. Step 3: Cross multiply
    860,909,700,825x = 1,849,581,172,569 × 1,849,581,172,569
  4. Step 4: Simplify right side
    860,909,700,825x = 3,420,950,513,921,717,155,397,632
  5. Step 5: Solve for x
    x = 3,420,950,513,921,717,155,397,632/860,909,700,825
  6. Step 6: Final answer
    x = 3,973,646,145,052.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.