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Finding the Third Proportional to 30,454,608 and 65,927,328

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Solution

The third proportional to 30,454,608 and 65,927,328 is: 142,717,731.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,454,608 : 65,927,328 = 65,927,328 : x
  2. Step 2: Convert to fraction form
    30,454,608/65,927,328 = 65,927,328/x
  3. Step 3: Cross multiply
    30,454,608x = 65,927,328 × 65,927,328
  4. Step 4: Simplify right side
    30,454,608x = 4,346,412,577,219,584
  5. Step 5: Solve for x
    x = 4,346,412,577,219,584/30,454,608
  6. Step 6: Final answer
    x = 142,717,731.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.