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Finding the Third Proportional to 860,909,700,827 and 1,849,581,172,573

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Solution

The third proportional to 860,909,700,827 and 1,849,581,172,573 is: 3,973,646,145,060.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    860,909,700,827 : 1,849,581,172,573 = 1,849,581,172,573 : x
  2. Step 2: Convert to fraction form
    860,909,700,827/1,849,581,172,573 = 1,849,581,172,573/x
  3. Step 3: Cross multiply
    860,909,700,827x = 1,849,581,172,573 × 1,849,581,172,573
  4. Step 4: Simplify right side
    860,909,700,827x = 3,420,950,513,936,513,854,603,264
  5. Step 5: Solve for x
    x = 3,420,950,513,936,513,854,603,264/860,909,700,827
  6. Step 6: Final answer
    x = 3,973,646,145,060.64

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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.