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Finding the Third Proportional to 722,759,247.42 and 975,171,926.46

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Solution

The third proportional to 722,759,247.42 and 975,171,926.46 is: 1,315,735,896.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,759,247.42 : 975,171,926.46 = 975,171,926.46 : x
  2. Step 2: Convert to fraction form
    722,759,247.42/975,171,926.46 = 975,171,926.46/x
  3. Step 3: Cross multiply
    722,759,247.42x = 975,171,926.46 × 975,171,926.46
  4. Step 4: Simplify right side
    722,759,247.42x = 950,960,286,157,560,448
  5. Step 5: Solve for x
    x = 950,960,286,157,560,448/722,759,247.42
  6. Step 6: Final answer
    x = 1,315,735,896.22

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.