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Finding the Third Proportional to 722,759,384 and 975,172,096

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Solution

The third proportional to 722,759,384 and 975,172,096 is: 1,315,736,105.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,759,384 : 975,172,096 = 975,172,096 : x
  2. Step 2: Convert to fraction form
    722,759,384/975,172,096 = 975,172,096/x
  3. Step 3: Cross multiply
    722,759,384x = 975,172,096 × 975,172,096
  4. Step 4: Simplify right side
    722,759,384x = 950,960,616,817,033,216
  5. Step 5: Solve for x
    x = 950,960,616,817,033,216/722,759,384
  6. Step 6: Final answer
    x = 1,315,736,105.08

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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.