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Finding the Third Proportional to 174,911,510 and 382,772,524

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Solution

The third proportional to 174,911,510 and 382,772,524 is: 837,651,022.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,911,510 : 382,772,524 = 382,772,524 : x
  2. Step 2: Convert to fraction form
    174,911,510/382,772,524 = 382,772,524/x
  3. Step 3: Cross multiply
    174,911,510x = 382,772,524 × 382,772,524
  4. Step 4: Simplify right side
    174,911,510x = 146,514,805,129,330,560
  5. Step 5: Solve for x
    x = 146,514,805,129,330,560/174,911,510
  6. Step 6: Final answer
    x = 837,651,022.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.