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Finding the Third Proportional to 3,196,862.25 and 6,849,714

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Solution

The third proportional to 3,196,862.25 and 6,849,714 is: 14,676,447.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196,862.25 : 6,849,714 = 6,849,714 : x
  2. Step 2: Convert to fraction form
    3,196,862.25/6,849,714 = 6,849,714/x
  3. Step 3: Cross multiply
    3,196,862.25x = 6,849,714 × 6,849,714
  4. Step 4: Simplify right side
    3,196,862.25x = 46,918,581,881,796
  5. Step 5: Solve for x
    x = 46,918,581,881,796/3,196,862.25
  6. Step 6: Final answer
    x = 14,676,447.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.