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Finding the Third Proportional to 61,230,291,432 and 95,842,129,495.50

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Solution

The third proportional to 61,230,291,432 and 95,842,129,495.50 is: 150,019,109,355.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,230,291,432 : 95,842,129,495.50 = 95,842,129,495.50 : x
  2. Step 2: Convert to fraction form
    61,230,291,432/95,842,129,495.50 = 95,842,129,495.50/x
  3. Step 3: Cross multiply
    61,230,291,432x = 95,842,129,495.50 × 95,842,129,495.50
  4. Step 4: Simplify right side
    61,230,291,432x = 9,185,713,786,232,190,795,776
  5. Step 5: Solve for x
    x = 9,185,713,786,232,190,795,776/61,230,291,432
  6. Step 6: Final answer
    x = 150,019,109,355.92

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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.