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Finding the Third Proportional to 4,851,708,725 and 7,452,818,150

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Solution

The third proportional to 4,851,708,725 and 7,452,818,150 is: 11,448,440,441.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,851,708,725 : 7,452,818,150 = 7,452,818,150 : x
  2. Step 2: Convert to fraction form
    4,851,708,725/7,452,818,150 = 7,452,818,150/x
  3. Step 3: Cross multiply
    4,851,708,725x = 7,452,818,150 × 7,452,818,150
  4. Step 4: Simplify right side
    4,851,708,725x = 55,544,498,376,969,420,800
  5. Step 5: Solve for x
    x = 55,544,498,376,969,420,800/4,851,708,725
  6. Step 6: Final answer
    x = 11,448,440,441.36

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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.