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Finding the Third Proportional to 10,600,584,290 and 22,967,829,652

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Solution

The third proportional to 10,600,584,290 and 22,967,829,652 is: 49,763,407,798.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,600,584,290 : 22,967,829,652 = 22,967,829,652 : x
  2. Step 2: Convert to fraction form
    10,600,584,290/22,967,829,652 = 22,967,829,652/x
  3. Step 3: Cross multiply
    10,600,584,290x = 22,967,829,652 × 22,967,829,652
  4. Step 4: Simplify right side
    10,600,584,290x = 527,521,198,923,290,443,776
  5. Step 5: Solve for x
    x = 527,521,198,923,290,443,776/10,600,584,290
  6. Step 6: Final answer
    x = 49,763,407,798.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.