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Finding the Third Proportional to 4,714,564.50 and 10,292,733

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Solution

The third proportional to 4,714,564.50 and 10,292,733 is: 22,470,867.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714,564.50 : 10,292,733 = 10,292,733 : x
  2. Step 2: Convert to fraction form
    4,714,564.50/10,292,733 = 10,292,733/x
  3. Step 3: Cross multiply
    4,714,564.50x = 10,292,733 × 10,292,733
  4. Step 4: Simplify right side
    4,714,564.50x = 105,940,352,609,289
  5. Step 5: Solve for x
    x = 105,940,352,609,289/4,714,564.50
  6. Step 6: Final answer
    x = 22,470,867.16

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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.