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Finding the Third Proportional to 27,430,420 and 59,589,502

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Solution

The third proportional to 27,430,420 and 59,589,502 is: 129,451,490.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,430,420 : 59,589,502 = 59,589,502 : x
  2. Step 2: Convert to fraction form
    27,430,420/59,589,502 = 59,589,502/x
  3. Step 3: Cross multiply
    27,430,420x = 59,589,502 × 59,589,502
  4. Step 4: Simplify right side
    27,430,420x = 3,550,908,748,608,004
  5. Step 5: Solve for x
    x = 3,550,908,748,608,004/27,430,420
  6. Step 6: Final answer
    x = 129,451,490.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.