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Finding the Third Proportional to 6,012,459 and 12,615,732

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Solution

The third proportional to 6,012,459 and 12,615,732 is: 26,471,148.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,012,459 : 12,615,732 = 12,615,732 : x
  2. Step 2: Convert to fraction form
    6,012,459/12,615,732 = 12,615,732/x
  3. Step 3: Cross multiply
    6,012,459x = 12,615,732 × 12,615,732
  4. Step 4: Simplify right side
    6,012,459x = 159,156,693,895,824
  5. Step 5: Solve for x
    x = 159,156,693,895,824/6,012,459
  6. Step 6: Final answer
    x = 26,471,148.31

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.