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Finding the Third Proportional to 4,514,432 and 9,650,080

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Solution

The third proportional to 4,514,432 and 9,650,080 is: 20,628,075.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,514,432 : 9,650,080 = 9,650,080 : x
  2. Step 2: Convert to fraction form
    4,514,432/9,650,080 = 9,650,080/x
  3. Step 3: Cross multiply
    4,514,432x = 9,650,080 × 9,650,080
  4. Step 4: Simplify right side
    4,514,432x = 93,124,044,006,400
  5. Step 5: Solve for x
    x = 93,124,044,006,400/4,514,432
  6. Step 6: Final answer
    x = 20,628,075.47

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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.