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Finding the Third Proportional to 8,037,140 and 17,363,442

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Solution

The third proportional to 8,037,140 and 17,363,442 is: 37,511,990.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,037,140 : 17,363,442 = 17,363,442 : x
  2. Step 2: Convert to fraction form
    8,037,140/17,363,442 = 17,363,442/x
  3. Step 3: Cross multiply
    8,037,140x = 17,363,442 × 17,363,442
  4. Step 4: Simplify right side
    8,037,140x = 301,489,118,087,364
  5. Step 5: Solve for x
    x = 301,489,118,087,364/8,037,140
  6. Step 6: Final answer
    x = 37,511,990.35

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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.