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Finding the Third Proportional to 860,909,700,824 and 1,849,581,172,567

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Solution

The third proportional to 860,909,700,824 and 1,849,581,172,567 is: 3,973,646,145,048.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    860,909,700,824 : 1,849,581,172,567 = 1,849,581,172,567 : x
  2. Step 2: Convert to fraction form
    860,909,700,824/1,849,581,172,567 = 1,849,581,172,567/x
  3. Step 3: Cross multiply
    860,909,700,824x = 1,849,581,172,567 × 1,849,581,172,567
  4. Step 4: Simplify right side
    860,909,700,824x = 3,420,950,513,914,318,537,359,360
  5. Step 5: Solve for x
    x = 3,420,950,513,914,318,537,359,360/860,909,700,824
  6. Step 6: Final answer
    x = 3,973,646,145,048.70

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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.