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Finding the Third Proportional to 4,659,394 and 9,966,484

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Solution

The third proportional to 4,659,394 and 9,966,484 is: 21,318,395.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659,394 : 9,966,484 = 9,966,484 : x
  2. Step 2: Convert to fraction form
    4,659,394/9,966,484 = 9,966,484/x
  3. Step 3: Cross multiply
    4,659,394x = 9,966,484 × 9,966,484
  4. Step 4: Simplify right side
    4,659,394x = 99,330,803,322,256
  5. Step 5: Solve for x
    x = 99,330,803,322,256/4,659,394
  6. Step 6: Final answer
    x = 21,318,395.34

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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.