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Finding the Third Proportional to 10,258,076.25 and 22,218,423.19

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Solution

The third proportional to 10,258,076.25 and 22,218,423.19 is: 48,123,870.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,258,076.25 : 22,218,423.19 = 22,218,423.19 : x
  2. Step 2: Convert to fraction form
    10,258,076.25/22,218,423.19 = 22,218,423.19/x
  3. Step 3: Cross multiply
    10,258,076.25x = 22,218,423.19 × 22,218,423.19
  4. Step 4: Simplify right side
    10,258,076.25x = 493,658,328,938,837.69
  5. Step 5: Solve for x
    x = 493,658,328,938,837.69/10,258,076.25
  6. Step 6: Final answer
    x = 48,123,870.10

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.