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Finding the Third Proportional to 4,514,854 and 9,642,014

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Solution

The third proportional to 4,514,854 and 9,642,014 is: 20,591,681.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,514,854 : 9,642,014 = 9,642,014 : x
  2. Step 2: Convert to fraction form
    4,514,854/9,642,014 = 9,642,014/x
  3. Step 3: Cross multiply
    4,514,854x = 9,642,014 × 9,642,014
  4. Step 4: Simplify right side
    4,514,854x = 92,968,433,976,196
  5. Step 5: Solve for x
    x = 92,968,433,976,196/4,514,854
  6. Step 6: Final answer
    x = 20,591,681.14

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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.