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Finding the Third Proportional to 4,746,128 and 9,828,714

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Solution

The third proportional to 4,746,128 and 9,828,714 is: 20,354,195.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,746,128 : 9,828,714 = 9,828,714 : x
  2. Step 2: Convert to fraction form
    4,746,128/9,828,714 = 9,828,714/x
  3. Step 3: Cross multiply
    4,746,128x = 9,828,714 × 9,828,714
  4. Step 4: Simplify right side
    4,746,128x = 96,603,618,893,796
  5. Step 5: Solve for x
    x = 96,603,618,893,796/4,746,128
  6. Step 6: Final answer
    x = 20,354,195.86

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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.