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Finding the Third Proportional to 549,224,347.50 and 828,944,001.56

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Solution

The third proportional to 549,224,347.50 and 828,944,001.56 is: 1,251,124,719.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,224,347.50 : 828,944,001.56 = 828,944,001.56 : x
  2. Step 2: Convert to fraction form
    549,224,347.50/828,944,001.56 = 828,944,001.56/x
  3. Step 3: Cross multiply
    549,224,347.50x = 828,944,001.56 × 828,944,001.56
  4. Step 4: Simplify right side
    549,224,347.50x = 687,148,157,726,450,048
  5. Step 5: Solve for x
    x = 687,148,157,726,450,048/549,224,347.50
  6. Step 6: Final answer
    x = 1,251,124,719.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.