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Finding the Third Proportional to 8,216,246 and 17,731,543

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Solution

The third proportional to 8,216,246 and 17,731,543 is: 38,266,577.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216,246 : 17,731,543 = 17,731,543 : x
  2. Step 2: Convert to fraction form
    8,216,246/17,731,543 = 17,731,543/x
  3. Step 3: Cross multiply
    8,216,246x = 17,731,543 × 17,731,543
  4. Step 4: Simplify right side
    8,216,246x = 314,407,617,160,849
  5. Step 5: Solve for x
    x = 314,407,617,160,849/8,216,246
  6. Step 6: Final answer
    x = 38,266,577.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.