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Finding the Third Proportional to 10,832,970.38 and 16,827,921

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Solution

The third proportional to 10,832,970.38 and 16,827,921 is: 26,140,468.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,832,970.38 : 16,827,921 = 16,827,921 : x
  2. Step 2: Convert to fraction form
    10,832,970.38/16,827,921 = 16,827,921/x
  3. Step 3: Cross multiply
    10,832,970.38x = 16,827,921 × 16,827,921
  4. Step 4: Simplify right side
    10,832,970.38x = 283,178,925,182,241
  5. Step 5: Solve for x
    x = 283,178,925,182,241/10,832,970.38
  6. Step 6: Final answer
    x = 26,140,468.90

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.