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Finding the Third Proportional to 4,614,584 and 9,938,836

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Solution

The third proportional to 4,614,584 and 9,938,836 is: 21,406,146.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614,584 : 9,938,836 = 9,938,836 : x
  2. Step 2: Convert to fraction form
    4,614,584/9,938,836 = 9,938,836/x
  3. Step 3: Cross multiply
    4,614,584x = 9,938,836 × 9,938,836
  4. Step 4: Simplify right side
    4,614,584x = 98,780,461,034,896
  5. Step 5: Solve for x
    x = 98,780,461,034,896/4,614,584
  6. Step 6: Final answer
    x = 21,406,146.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.