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Finding the Third Proportional to 38,646,343 and 83,345,681

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Solution

The third proportional to 38,646,343 and 83,345,681 is: 179,745,404.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,646,343 : 83,345,681 = 83,345,681 : x
  2. Step 2: Convert to fraction form
    38,646,343/83,345,681 = 83,345,681/x
  3. Step 3: Cross multiply
    38,646,343x = 83,345,681 × 83,345,681
  4. Step 4: Simplify right side
    38,646,343x = 6,946,502,541,353,761
  5. Step 5: Solve for x
    x = 6,946,502,541,353,761/38,646,343
  6. Step 6: Final answer
    x = 179,745,404.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.