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Finding the Third Proportional to 4,614,284 and 9,938,524

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Solution

The third proportional to 4,614,284 and 9,938,524 is: 21,406,194.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614,284 : 9,938,524 = 9,938,524 : x
  2. Step 2: Convert to fraction form
    4,614,284/9,938,524 = 9,938,524/x
  3. Step 3: Cross multiply
    4,614,284x = 9,938,524 × 9,938,524
  4. Step 4: Simplify right side
    4,614,284x = 98,774,259,298,576
  5. Step 5: Solve for x
    x = 98,774,259,298,576/4,614,284
  6. Step 6: Final answer
    x = 21,406,194.18

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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.