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Finding the Third Proportional to 12,784,564 and 27,466,424

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Solution

The third proportional to 12,784,564 and 27,466,424 is: 59,009,008.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,784,564 : 27,466,424 = 27,466,424 : x
  2. Step 2: Convert to fraction form
    12,784,564/27,466,424 = 27,466,424/x
  3. Step 3: Cross multiply
    12,784,564x = 27,466,424 × 27,466,424
  4. Step 4: Simplify right side
    12,784,564x = 754,404,447,347,776
  5. Step 5: Solve for x
    x = 754,404,447,347,776/12,784,564
  6. Step 6: Final answer
    x = 59,009,008.63

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.