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Finding the Third Proportional to 910,854,510.75 and 1,399,427,284.50

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Solution

The third proportional to 910,854,510.75 and 1,399,427,284.50 is: 2,150,065,352.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,854,510.75 : 1,399,427,284.50 = 1,399,427,284.50 : x
  2. Step 2: Convert to fraction form
    910,854,510.75/1,399,427,284.50 = 1,399,427,284.50/x
  3. Step 3: Cross multiply
    910,854,510.75x = 1,399,427,284.50 × 1,399,427,284.50
  4. Step 4: Simplify right side
    910,854,510.75x = 1,958,396,724,603,043,840
  5. Step 5: Solve for x
    x = 1,958,396,724,603,043,840/910,854,510.75
  6. Step 6: Final answer
    x = 2,150,065,352.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.