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Finding the Third Proportional to 549,224,376.75 and 828,944,047.13

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Solution

The third proportional to 549,224,376.75 and 828,944,047.13 is: 1,251,124,790.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,224,376.75 : 828,944,047.13 = 828,944,047.13 : x
  2. Step 2: Convert to fraction form
    549,224,376.75/828,944,047.13 = 828,944,047.13/x
  3. Step 3: Cross multiply
    549,224,376.75x = 828,944,047.13 × 828,944,047.13
  4. Step 4: Simplify right side
    549,224,376.75x = 687,148,233,263,974,272
  5. Step 5: Solve for x
    x = 687,148,233,263,974,272/549,224,376.75
  6. Step 6: Final answer
    x = 1,251,124,790.44

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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.