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Finding the Third Proportional to 64,440,624 and 97,596,864

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Solution

The third proportional to 64,440,624 and 97,596,864 is: 147,812,781.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,440,624 : 97,596,864 = 97,596,864 : x
  2. Step 2: Convert to fraction form
    64,440,624/97,596,864 = 97,596,864/x
  3. Step 3: Cross multiply
    64,440,624x = 97,596,864 × 97,596,864
  4. Step 4: Simplify right side
    64,440,624x = 9,525,147,862,634,496
  5. Step 5: Solve for x
    x = 9,525,147,862,634,496/64,440,624
  6. Step 6: Final answer
    x = 147,812,781.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.