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Finding the Third Proportional to 4,746,136 and 9,828,730

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Solution

The third proportional to 4,746,136 and 9,828,730 is: 20,354,227.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,746,136 : 9,828,730 = 9,828,730 : x
  2. Step 2: Convert to fraction form
    4,746,136/9,828,730 = 9,828,730/x
  3. Step 3: Cross multiply
    4,746,136x = 9,828,730 × 9,828,730
  4. Step 4: Simplify right side
    4,746,136x = 96,603,933,412,900
  5. Step 5: Solve for x
    x = 96,603,933,412,900/4,746,136
  6. Step 6: Final answer
    x = 20,354,227.82

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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.