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Finding the Third Proportional to 515,924,583,001 and 1,122,430,123,404.20

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Solution

The third proportional to 515,924,583,001 and 1,122,430,123,404.20 is: 2,441,925,474,062.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,924,583,001 : 1,122,430,123,404.20 = 1,122,430,123,404.20 : x
  2. Step 2: Convert to fraction form
    515,924,583,001/1,122,430,123,404.20 = 1,122,430,123,404.20/x
  3. Step 3: Cross multiply
    515,924,583,001x = 1,122,430,123,404.20 × 1,122,430,123,404.20
  4. Step 4: Simplify right side
    515,924,583,001x = 1,259,849,381,925,167,447,408,640
  5. Step 5: Solve for x
    x = 1,259,849,381,925,167,447,408,640/515,924,583,001
  6. Step 6: Final answer
    x = 2,441,925,474,062.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.