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Finding the Third Proportional to 11,743,506 and 16,537,527

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Solution

The third proportional to 11,743,506 and 16,537,527 is: 23,288,598.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,743,506 : 16,537,527 = 16,537,527 : x
  2. Step 2: Convert to fraction form
    11,743,506/16,537,527 = 16,537,527/x
  3. Step 3: Cross multiply
    11,743,506x = 16,537,527 × 16,537,527
  4. Step 4: Simplify right side
    11,743,506x = 273,489,799,275,729
  5. Step 5: Solve for x
    x = 273,489,799,275,729/11,743,506
  6. Step 6: Final answer
    x = 23,288,598.76

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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.