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Finding the Third Proportional to 398,253,051 and 623,362,077

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Solution

The third proportional to 398,253,051 and 623,362,077 is: 975,711,995.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,253,051 : 623,362,077 = 623,362,077 : x
  2. Step 2: Convert to fraction form
    398,253,051/623,362,077 = 623,362,077/x
  3. Step 3: Cross multiply
    398,253,051x = 623,362,077 × 623,362,077
  4. Step 4: Simplify right side
    398,253,051x = 388,580,279,041,753,920
  5. Step 5: Solve for x
    x = 388,580,279,041,753,920/398,253,051
  6. Step 6: Final answer
    x = 975,711,995.34

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.