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Finding the Third Proportional to 10,439,408 and 15,971,129

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Solution

The third proportional to 10,439,408 and 15,971,129 is: 24,434,044.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,439,408 : 15,971,129 = 15,971,129 : x
  2. Step 2: Convert to fraction form
    10,439,408/15,971,129 = 15,971,129/x
  3. Step 3: Cross multiply
    10,439,408x = 15,971,129 × 15,971,129
  4. Step 4: Simplify right side
    10,439,408x = 255,076,961,534,641
  5. Step 5: Solve for x
    x = 255,076,961,534,641/10,439,408
  6. Step 6: Final answer
    x = 24,434,044.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.