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Finding the Third Proportional to 38,564,700 and 51,181,072

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Solution

The third proportional to 38,564,700 and 51,181,072 is: 67,924,867.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,564,700 : 51,181,072 = 51,181,072 : x
  2. Step 2: Convert to fraction form
    38,564,700/51,181,072 = 51,181,072/x
  3. Step 3: Cross multiply
    38,564,700x = 51,181,072 × 51,181,072
  4. Step 4: Simplify right side
    38,564,700x = 2,619,502,131,069,184
  5. Step 5: Solve for x
    x = 2,619,502,131,069,184/38,564,700
  6. Step 6: Final answer
    x = 67,924,867.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.