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Finding the Third Proportional to 4,719,070 and 10,338,519

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Solution

The third proportional to 4,719,070 and 10,338,519 is: 22,649,584.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,719,070 : 10,338,519 = 10,338,519 : x
  2. Step 2: Convert to fraction form
    4,719,070/10,338,519 = 10,338,519/x
  3. Step 3: Cross multiply
    4,719,070x = 10,338,519 × 10,338,519
  4. Step 4: Simplify right side
    4,719,070x = 106,884,975,113,361
  5. Step 5: Solve for x
    x = 106,884,975,113,361/4,719,070
  6. Step 6: Final answer
    x = 22,649,584.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.