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Finding the Third Proportional to 549,224,151 and 828,943,816.50

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Solution

The third proportional to 549,224,151 and 828,943,816.50 is: 1,251,124,608.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,224,151 : 828,943,816.50 = 828,943,816.50 : x
  2. Step 2: Convert to fraction form
    549,224,151/828,943,816.50 = 828,943,816.50/x
  3. Step 3: Cross multiply
    549,224,151x = 828,943,816.50 × 828,943,816.50
  4. Step 4: Simplify right side
    549,224,151x = 687,147,850,913,585,664
  5. Step 5: Solve for x
    x = 687,147,850,913,585,664/549,224,151
  6. Step 6: Final answer
    x = 1,251,124,608.53

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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.