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Finding the Third Proportional to 7,457,666 and 11,287,327

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Solution

The third proportional to 7,457,666 and 11,287,327 is: 17,083,595.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,457,666 : 11,287,327 = 11,287,327 : x
  2. Step 2: Convert to fraction form
    7,457,666/11,287,327 = 11,287,327/x
  3. Step 3: Cross multiply
    7,457,666x = 11,287,327 × 11,287,327
  4. Step 4: Simplify right side
    7,457,666x = 127,403,750,804,929
  5. Step 5: Solve for x
    x = 127,403,750,804,929/7,457,666
  6. Step 6: Final answer
    x = 17,083,595.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.