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Finding the Third Proportional to 61,230,291,437 and 95,842,129,503

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Solution

The third proportional to 61,230,291,437 and 95,842,129,503 is: 150,019,109,367.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,230,291,437 : 95,842,129,503 = 95,842,129,503 : x
  2. Step 2: Convert to fraction form
    61,230,291,437/95,842,129,503 = 95,842,129,503/x
  3. Step 3: Cross multiply
    61,230,291,437x = 95,842,129,503 × 95,842,129,503
  4. Step 4: Simplify right side
    61,230,291,437x = 9,185,713,787,669,823,094,784
  5. Step 5: Solve for x
    x = 9,185,713,787,669,823,094,784/61,230,291,437
  6. Step 6: Final answer
    x = 150,019,109,367.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.