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Finding the Third Proportional to 562,625,989,681.50 and 1,206,926,334,821.20

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Solution

The third proportional to 562,625,989,681.50 and 1,206,926,334,821.20 is: 2,589,057,747,775.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,625,989,681.50 : 1,206,926,334,821.20 = 1,206,926,334,821.20 : x
  2. Step 2: Convert to fraction form
    562,625,989,681.50/1,206,926,334,821.20 = 1,206,926,334,821.20/x
  3. Step 3: Cross multiply
    562,625,989,681.50x = 1,206,926,334,821.20 × 1,206,926,334,821.20
  4. Step 4: Simplify right side
    562,625,989,681.50x = 1,456,671,177,684,935,172,423,680
  5. Step 5: Solve for x
    x = 1,456,671,177,684,935,172,423,680/562,625,989,681.50
  6. Step 6: Final answer
    x = 2,589,057,747,775.84

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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.