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Finding the Third Proportional to 22,696,214.50 and 47,007,374.50

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Solution

The third proportional to 22,696,214.50 and 47,007,374.50 is: 97,359,551.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,696,214.50 : 47,007,374.50 = 47,007,374.50 : x
  2. Step 2: Convert to fraction form
    22,696,214.50/47,007,374.50 = 47,007,374.50/x
  3. Step 3: Cross multiply
    22,696,214.50x = 47,007,374.50 × 47,007,374.50
  4. Step 4: Simplify right side
    22,696,214.50x = 2,209,693,257,383,250.25
  5. Step 5: Solve for x
    x = 2,209,693,257,383,250.25/22,696,214.50
  6. Step 6: Final answer
    x = 97,359,551.19

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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.