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Finding the Third Proportional to 4,746,226 and 9,828,900

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Solution

The third proportional to 4,746,226 and 9,828,900 is: 20,354,545.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,746,226 : 9,828,900 = 9,828,900 : x
  2. Step 2: Convert to fraction form
    4,746,226/9,828,900 = 9,828,900/x
  3. Step 3: Cross multiply
    4,746,226x = 9,828,900 × 9,828,900
  4. Step 4: Simplify right side
    4,746,226x = 96,607,275,210,000
  5. Step 5: Solve for x
    x = 96,607,275,210,000/4,746,226
  6. Step 6: Final answer
    x = 20,354,545.95

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.