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Finding the Third Proportional to 68,254,587 and 96,578,145

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Solution

The third proportional to 68,254,587 and 96,578,145 is: 136,655,109.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,254,587 : 96,578,145 = 96,578,145 : x
  2. Step 2: Convert to fraction form
    68,254,587/96,578,145 = 96,578,145/x
  3. Step 3: Cross multiply
    68,254,587x = 96,578,145 × 96,578,145
  4. Step 4: Simplify right side
    68,254,587x = 9,327,338,091,641,024
  5. Step 5: Solve for x
    x = 9,327,338,091,641,024/68,254,587
  6. Step 6: Final answer
    x = 136,655,109.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.