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Finding the Third Proportional to 60,456,206,046 and 131,188,748,928

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Solution

The third proportional to 60,456,206,046 and 131,188,748,928 is: 284,676,941,722.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,456,206,046 : 131,188,748,928 = 131,188,748,928 : x
  2. Step 2: Convert to fraction form
    60,456,206,046/131,188,748,928 = 131,188,748,928/x
  3. Step 3: Cross multiply
    60,456,206,046x = 131,188,748,928 × 131,188,748,928
  4. Step 4: Simplify right side
    60,456,206,046x = 17,210,487,845,293,821,788,160
  5. Step 5: Solve for x
    x = 17,210,487,845,293,821,788,160/60,456,206,046
  6. Step 6: Final answer
    x = 284,676,941,722.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.