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Finding the Third Proportional to 6,502,776 and 14,292,714

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Solution

The third proportional to 6,502,776 and 14,292,714 is: 31,414,533.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502,776 : 14,292,714 = 14,292,714 : x
  2. Step 2: Convert to fraction form
    6,502,776/14,292,714 = 14,292,714/x
  3. Step 3: Cross multiply
    6,502,776x = 14,292,714 × 14,292,714
  4. Step 4: Simplify right side
    6,502,776x = 204,281,673,485,796
  5. Step 5: Solve for x
    x = 204,281,673,485,796/6,502,776
  6. Step 6: Final answer
    x = 31,414,533.34

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.