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Finding the Third Proportional to 22,696,212.50 and 47,007,370.50

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Solution

The third proportional to 22,696,212.50 and 47,007,370.50 is: 97,359,543.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,696,212.50 : 47,007,370.50 = 47,007,370.50 : x
  2. Step 2: Convert to fraction form
    22,696,212.50/47,007,370.50 = 47,007,370.50/x
  3. Step 3: Cross multiply
    22,696,212.50x = 47,007,370.50 × 47,007,370.50
  4. Step 4: Simplify right side
    22,696,212.50x = 2,209,692,881,324,270.25
  5. Step 5: Solve for x
    x = 2,209,692,881,324,270.25/22,696,212.50
  6. Step 6: Final answer
    x = 97,359,543.20

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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.