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Finding the Third Proportional to 247,520,634.75 and 524,547,180

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Solution

The third proportional to 247,520,634.75 and 524,547,180 is: 1,111,623,458.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,520,634.75 : 524,547,180 = 524,547,180 : x
  2. Step 2: Convert to fraction form
    247,520,634.75/524,547,180 = 524,547,180/x
  3. Step 3: Cross multiply
    247,520,634.75x = 524,547,180 × 524,547,180
  4. Step 4: Simplify right side
    247,520,634.75x = 275,149,744,045,952,384
  5. Step 5: Solve for x
    x = 275,149,744,045,952,384/247,520,634.75
  6. Step 6: Final answer
    x = 1,111,623,458.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.