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Finding the Third Proportional to 1,972,227,001,583 and 4,241,267,385,035.20

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Solution

The third proportional to 1,972,227,001,583 and 4,241,267,385,035.20 is: 9,120,830,927,132.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972,227,001,583 : 4,241,267,385,035.20 = 4,241,267,385,035.20 : x
  2. Step 2: Convert to fraction form
    1,972,227,001,583/4,241,267,385,035.20 = 4,241,267,385,035.20/x
  3. Step 3: Cross multiply
    1,972,227,001,583x = 4,241,267,385,035.20 × 4,241,267,385,035.20
  4. Step 4: Simplify right side
    1,972,227,001,583x = 17,988,349,031,363,326,150,443,008
  5. Step 5: Solve for x
    x = 17,988,349,031,363,326,150,443,008/1,972,227,001,583
  6. Step 6: Final answer
    x = 9,120,830,927,132.15

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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.