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Finding the Third Proportional to 4,659,368 and 9,966,423

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Solution

The third proportional to 4,659,368 and 9,966,423 is: 21,318,253.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659,368 : 9,966,423 = 9,966,423 : x
  2. Step 2: Convert to fraction form
    4,659,368/9,966,423 = 9,966,423/x
  3. Step 3: Cross multiply
    4,659,368x = 9,966,423 × 9,966,423
  4. Step 4: Simplify right side
    4,659,368x = 99,329,587,414,929
  5. Step 5: Solve for x
    x = 99,329,587,414,929/4,659,368
  6. Step 6: Final answer
    x = 21,318,253.34

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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.