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Finding the Third Proportional to 562,625,989,677 and 1,206,926,334,810

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Solution

The third proportional to 562,625,989,677 and 1,206,926,334,810 is: 2,589,057,747,748.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,625,989,677 : 1,206,926,334,810 = 1,206,926,334,810 : x
  2. Step 2: Convert to fraction form
    562,625,989,677/1,206,926,334,810 = 1,206,926,334,810/x
  3. Step 3: Cross multiply
    562,625,989,677x = 1,206,926,334,810 × 1,206,926,334,810
  4. Step 4: Simplify right side
    562,625,989,677x = 1,456,671,177,657,900,232,343,552
  5. Step 5: Solve for x
    x = 1,456,671,177,657,900,232,343,552/562,625,989,677
  6. Step 6: Final answer
    x = 2,589,057,747,748.49

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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.