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Finding the Third Proportional to 9,700,827.75 and 21,123,919.13

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Solution

The third proportional to 9,700,827.75 and 21,123,919.13 is: 45,998,132.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700,827.75 : 21,123,919.13 = 21,123,919.13 : x
  2. Step 2: Convert to fraction form
    9,700,827.75/21,123,919.13 = 21,123,919.13/x
  3. Step 3: Cross multiply
    9,700,827.75x = 21,123,919.13 × 21,123,919.13
  4. Step 4: Simplify right side
    9,700,827.75x = 446,219,959,199,540.75
  5. Step 5: Solve for x
    x = 446,219,959,199,540.75/9,700,827.75
  6. Step 6: Final answer
    x = 45,998,132.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.