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Finding the Third Proportional to 10,784,848.78 and 15,169,609.13

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Solution

The third proportional to 10,784,848.78 and 15,169,609.13 is: 21,337,067.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,784,848.78 : 15,169,609.13 = 15,169,609.13 : x
  2. Step 2: Convert to fraction form
    10,784,848.78/15,169,609.13 = 15,169,609.13/x
  3. Step 3: Cross multiply
    10,784,848.78x = 15,169,609.13 × 15,169,609.13
  4. Step 4: Simplify right side
    10,784,848.78x = 230,117,041,005,283.25
  5. Step 5: Solve for x
    x = 230,117,041,005,283.25/10,784,848.78
  6. Step 6: Final answer
    x = 21,337,067.00

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.