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Finding the Third Proportional to 4,714,560 and 10,292,724

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Solution

The third proportional to 4,714,560 and 10,292,724 is: 22,470,849.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714,560 : 10,292,724 = 10,292,724 : x
  2. Step 2: Convert to fraction form
    4,714,560/10,292,724 = 10,292,724/x
  3. Step 3: Cross multiply
    4,714,560x = 10,292,724 × 10,292,724
  4. Step 4: Simplify right side
    4,714,560x = 105,940,167,340,176
  5. Step 5: Solve for x
    x = 105,940,167,340,176/4,714,560
  6. Step 6: Final answer
    x = 22,470,849.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.