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Finding the Third Proportional to 8,948,370 and 13,423,527

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Solution

The third proportional to 8,948,370 and 13,423,527 is: 20,136,748.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,948,370 : 13,423,527 = 13,423,527 : x
  2. Step 2: Convert to fraction form
    8,948,370/13,423,527 = 13,423,527/x
  3. Step 3: Cross multiply
    8,948,370x = 13,423,527 × 13,423,527
  4. Step 4: Simplify right side
    8,948,370x = 180,191,077,119,729
  5. Step 5: Solve for x
    x = 180,191,077,119,729/8,948,370
  6. Step 6: Final answer
    x = 20,136,748.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.