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Finding the Third Proportional to 138,417,704 and 326,748,222

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Solution

The third proportional to 138,417,704 and 326,748,222 is: 771,320,412.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,417,704 : 326,748,222 = 326,748,222 : x
  2. Step 2: Convert to fraction form
    138,417,704/326,748,222 = 326,748,222/x
  3. Step 3: Cross multiply
    138,417,704x = 326,748,222 × 326,748,222
  4. Step 4: Simplify right side
    138,417,704x = 106,764,400,580,161,280
  5. Step 5: Solve for x
    x = 106,764,400,580,161,280/138,417,704
  6. Step 6: Final answer
    x = 771,320,412.74

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.