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Finding the Third Proportional to 138,417,712 and 326,748,240

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Solution

The third proportional to 138,417,712 and 326,748,240 is: 771,320,453.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,417,712 : 326,748,240 = 326,748,240 : x
  2. Step 2: Convert to fraction form
    138,417,712/326,748,240 = 326,748,240/x
  3. Step 3: Cross multiply
    138,417,712x = 326,748,240 × 326,748,240
  4. Step 4: Simplify right side
    138,417,712x = 106,764,412,343,097,600
  5. Step 5: Solve for x
    x = 106,764,412,343,097,600/138,417,712
  6. Step 6: Final answer
    x = 771,320,453.14

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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.