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Finding the Third Proportional to 10,335,843,702 and 22,672,564,956

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Solution

The third proportional to 10,335,843,702 and 22,672,564,956 is: 49,734,227,461.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,335,843,702 : 22,672,564,956 = 22,672,564,956 : x
  2. Step 2: Convert to fraction form
    10,335,843,702/22,672,564,956 = 22,672,564,956/x
  3. Step 3: Cross multiply
    10,335,843,702x = 22,672,564,956 × 22,672,564,956
  4. Step 4: Simplify right side
    10,335,843,702x = 514,045,201,684,039,270,400
  5. Step 5: Solve for x
    x = 514,045,201,684,039,270,400/10,335,843,702
  6. Step 6: Final answer
    x = 49,734,227,461.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.