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Finding the Third Proportional to 4,087,095 and 9,634,423

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Solution

The third proportional to 4,087,095 and 9,634,423 is: 22,711,022.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,087,095 : 9,634,423 = 9,634,423 : x
  2. Step 2: Convert to fraction form
    4,087,095/9,634,423 = 9,634,423/x
  3. Step 3: Cross multiply
    4,087,095x = 9,634,423 × 9,634,423
  4. Step 4: Simplify right side
    4,087,095x = 92,822,106,542,929
  5. Step 5: Solve for x
    x = 92,822,106,542,929/4,087,095
  6. Step 6: Final answer
    x = 22,711,022.51

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.