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Finding the Third Proportional to 10,560,989,466 and 22,381,095,524

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Solution

The third proportional to 10,560,989,466 and 22,381,095,524 is: 47,430,540,335.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,560,989,466 : 22,381,095,524 = 22,381,095,524 : x
  2. Step 2: Convert to fraction form
    10,560,989,466/22,381,095,524 = 22,381,095,524/x
  3. Step 3: Cross multiply
    10,560,989,466x = 22,381,095,524 × 22,381,095,524
  4. Step 4: Simplify right side
    10,560,989,466x = 500,913,436,854,412,836,864
  5. Step 5: Solve for x
    x = 500,913,436,854,412,836,864/10,560,989,466
  6. Step 6: Final answer
    x = 47,430,540,335.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.