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Finding the Third Proportional to 4,746,082 and 9,828,630

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Solution

The third proportional to 4,746,082 and 9,828,630 is: 20,354,045.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,746,082 : 9,828,630 = 9,828,630 : x
  2. Step 2: Convert to fraction form
    4,746,082/9,828,630 = 9,828,630/x
  3. Step 3: Cross multiply
    4,746,082x = 9,828,630 × 9,828,630
  4. Step 4: Simplify right side
    4,746,082x = 96,601,967,676,900
  5. Step 5: Solve for x
    x = 96,601,967,676,900/4,746,082
  6. Step 6: Final answer
    x = 20,354,045.23

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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.