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Finding the Third Proportional to 10,767,070.71 and 16,549,759.19

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Solution

The third proportional to 10,767,070.71 and 16,549,759.19 is: 25,438,165.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,767,070.71 : 16,549,759.19 = 16,549,759.19 : x
  2. Step 2: Convert to fraction form
    10,767,070.71/16,549,759.19 = 16,549,759.19/x
  3. Step 3: Cross multiply
    10,767,070.71x = 16,549,759.19 × 16,549,759.19
  4. Step 4: Simplify right side
    10,767,070.71x = 273,894,529,131,935.53
  5. Step 5: Solve for x
    x = 273,894,529,131,935.53/10,767,070.71
  6. Step 6: Final answer
    x = 25,438,165.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.