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Finding the Third Proportional to 36,670,017 and 77,711,226

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Solution

The third proportional to 36,670,017 and 77,711,226 is: 164,685,897.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,670,017 : 77,711,226 = 77,711,226 : x
  2. Step 2: Convert to fraction form
    36,670,017/77,711,226 = 77,711,226/x
  3. Step 3: Cross multiply
    36,670,017x = 77,711,226 × 77,711,226
  4. Step 4: Simplify right side
    36,670,017x = 6,039,034,646,423,076
  5. Step 5: Solve for x
    x = 6,039,034,646,423,076/36,670,017
  6. Step 6: Final answer
    x = 164,685,897.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.