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Finding the Third Proportional to 10,767,160 and 16,549,868

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Solution

The third proportional to 10,767,160 and 16,549,868 is: 25,438,289.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,767,160 : 16,549,868 = 16,549,868 : x
  2. Step 2: Convert to fraction form
    10,767,160/16,549,868 = 16,549,868/x
  3. Step 3: Cross multiply
    10,767,160x = 16,549,868 × 16,549,868
  4. Step 4: Simplify right side
    10,767,160x = 273,898,130,817,424
  5. Step 5: Solve for x
    x = 273,898,130,817,424/10,767,160
  6. Step 6: Final answer
    x = 25,438,289.28

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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.