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Finding the Third Proportional to 29,643,642 and 64,234,914

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Solution

The third proportional to 29,643,642 and 64,234,914 is: 139,190,865.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,643,642 : 64,234,914 = 64,234,914 : x
  2. Step 2: Convert to fraction form
    29,643,642/64,234,914 = 64,234,914/x
  3. Step 3: Cross multiply
    29,643,642x = 64,234,914 × 64,234,914
  4. Step 4: Simplify right side
    29,643,642x = 4,126,124,176,587,396
  5. Step 5: Solve for x
    x = 4,126,124,176,587,396/29,643,642
  6. Step 6: Final answer
    x = 139,190,865.16

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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.