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Finding the Third Proportional to 12,178,029 and 26,766,582

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Solution

The third proportional to 12,178,029 and 26,766,582 is: 58,831,352.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178,029 : 26,766,582 = 26,766,582 : x
  2. Step 2: Convert to fraction form
    12,178,029/26,766,582 = 26,766,582/x
  3. Step 3: Cross multiply
    12,178,029x = 26,766,582 × 26,766,582
  4. Step 4: Simplify right side
    12,178,029x = 716,449,911,962,724
  5. Step 5: Solve for x
    x = 716,449,911,962,724/12,178,029
  6. Step 6: Final answer
    x = 58,831,352.10

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Why These Related Problems?

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