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Finding the Third Proportional to 65,393,924 and 140,176,826

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Solution

The third proportional to 65,393,924 and 140,176,826 is: 300,479,637.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,393,924 : 140,176,826 = 140,176,826 : x
  2. Step 2: Convert to fraction form
    65,393,924/140,176,826 = 140,176,826/x
  3. Step 3: Cross multiply
    65,393,924x = 140,176,826 × 140,176,826
  4. Step 4: Simplify right side
    65,393,924x = 19,649,542,547,434,276
  5. Step 5: Solve for x
    x = 19,649,542,547,434,276/65,393,924
  6. Step 6: Final answer
    x = 300,479,637.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.