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Finding the Third Proportional to 1,972,227,001,584 and 4,241,267,385,037.20

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Solution

The third proportional to 1,972,227,001,584 and 4,241,267,385,037.20 is: 9,120,830,927,136.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972,227,001,584 : 4,241,267,385,037.20 = 4,241,267,385,037.20 : x
  2. Step 2: Convert to fraction form
    1,972,227,001,584/4,241,267,385,037.20 = 4,241,267,385,037.20/x
  3. Step 3: Cross multiply
    1,972,227,001,584x = 4,241,267,385,037.20 × 4,241,267,385,037.20
  4. Step 4: Simplify right side
    1,972,227,001,584x = 17,988,349,031,380,289,123,778,560
  5. Step 5: Solve for x
    x = 17,988,349,031,380,289,123,778,560/1,972,227,001,584
  6. Step 6: Final answer
    x = 9,120,830,927,136.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.