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Finding the Third Proportional to 10,560,989,464 and 22,381,095,520

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Solution

The third proportional to 10,560,989,464 and 22,381,095,520 is: 47,430,540,327.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,560,989,464 : 22,381,095,520 = 22,381,095,520 : x
  2. Step 2: Convert to fraction form
    10,560,989,464/22,381,095,520 = 22,381,095,520/x
  3. Step 3: Cross multiply
    10,560,989,464x = 22,381,095,520 × 22,381,095,520
  4. Step 4: Simplify right side
    10,560,989,464x = 500,913,436,675,364,093,952
  5. Step 5: Solve for x
    x = 500,913,436,675,364,093,952/10,560,989,464
  6. Step 6: Final answer
    x = 47,430,540,327.96

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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.