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Finding the Third Proportional to 450,398,346.75 and 969,905,893.50

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Solution

The third proportional to 450,398,346.75 and 969,905,893.50 is: 2,088,634,314.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,398,346.75 : 969,905,893.50 = 969,905,893.50 : x
  2. Step 2: Convert to fraction form
    450,398,346.75/969,905,893.50 = 969,905,893.50/x
  3. Step 3: Cross multiply
    450,398,346.75x = 969,905,893.50 × 969,905,893.50
  4. Step 4: Simplify right side
    450,398,346.75x = 940,717,442,246,033,280
  5. Step 5: Solve for x
    x = 940,717,442,246,033,280/450,398,346.75
  6. Step 6: Final answer
    x = 2,088,634,314.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.