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Finding the Third Proportional to 22,696,186.75 and 47,007,319.38

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Solution

The third proportional to 22,696,186.75 and 47,007,319.38 is: 97,359,441.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,696,186.75 : 47,007,319.38 = 47,007,319.38 : x
  2. Step 2: Convert to fraction form
    22,696,186.75/47,007,319.38 = 47,007,319.38/x
  3. Step 3: Cross multiply
    22,696,186.75x = 47,007,319.38 × 47,007,319.38
  4. Step 4: Simplify right side
    22,696,186.75x = 2,209,688,074,823,250.50
  5. Step 5: Solve for x
    x = 2,209,688,074,823,250.50/22,696,186.75
  6. Step 6: Final answer
    x = 97,359,441.88

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.