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Finding the Third Proportional to 549,224,338.50 and 828,943,989.75

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Solution

The third proportional to 549,224,338.50 and 828,943,989.75 is: 1,251,124,704.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,224,338.50 : 828,943,989.75 = 828,943,989.75 : x
  2. Step 2: Convert to fraction form
    549,224,338.50/828,943,989.75 = 828,943,989.75/x
  3. Step 3: Cross multiply
    549,224,338.50x = 828,943,989.75 × 828,943,989.75
  4. Step 4: Simplify right side
    549,224,338.50x = 687,148,138,142,648,064
  5. Step 5: Solve for x
    x = 687,148,138,142,648,064/549,224,338.50
  6. Step 6: Final answer
    x = 1,251,124,704.38

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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.