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Finding the Third Proportional to 549,224,342 and 828,943,994

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Solution

The third proportional to 549,224,342 and 828,943,994 is: 1,251,124,709.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,224,342 : 828,943,994 = 828,943,994 : x
  2. Step 2: Convert to fraction form
    549,224,342/828,943,994 = 828,943,994/x
  3. Step 3: Cross multiply
    549,224,342x = 828,943,994 × 828,943,994
  4. Step 4: Simplify right side
    549,224,342x = 687,148,145,188,672,000
  5. Step 5: Solve for x
    x = 687,148,145,188,672,000/549,224,342
  6. Step 6: Final answer
    x = 1,251,124,709.23

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