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Finding the Third Proportional to 32,306,290 and 69,153,714

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Solution

The third proportional to 32,306,290 and 69,153,714 is: 148,028,020.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,306,290 : 69,153,714 = 69,153,714 : x
  2. Step 2: Convert to fraction form
    32,306,290/69,153,714 = 69,153,714/x
  3. Step 3: Cross multiply
    32,306,290x = 69,153,714 × 69,153,714
  4. Step 4: Simplify right side
    32,306,290x = 4,782,236,159,993,796
  5. Step 5: Solve for x
    x = 4,782,236,159,993,796/32,306,290
  6. Step 6: Final answer
    x = 148,028,020.55

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.