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Finding the Third Proportional to 368,011,089.70 and 552,286,047.52

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Solution

The third proportional to 368,011,089.70 and 552,286,047.52 is: 828,833,387.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,011,089.70 : 552,286,047.52 = 552,286,047.52 : x
  2. Step 2: Convert to fraction form
    368,011,089.70/552,286,047.52 = 552,286,047.52/x
  3. Step 3: Cross multiply
    368,011,089.70x = 552,286,047.52 × 552,286,047.52
  4. Step 4: Simplify right side
    368,011,089.70x = 305,019,878,280,403,520
  5. Step 5: Solve for x
    x = 305,019,878,280,403,520/368,011,089.70
  6. Step 6: Final answer
    x = 828,833,387.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.