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Finding the Third Proportional to 4,851,708,759 and 7,452,818,208

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Solution

The third proportional to 4,851,708,759 and 7,452,818,208 is: 11,448,440,539.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,851,708,759 : 7,452,818,208 = 7,452,818,208 : x
  2. Step 2: Convert to fraction form
    4,851,708,759/7,452,818,208 = 7,452,818,208/x
  3. Step 3: Cross multiply
    4,851,708,759x = 7,452,818,208 × 7,452,818,208
  4. Step 4: Simplify right side
    4,851,708,759x = 55,544,499,241,496,330,240
  5. Step 5: Solve for x
    x = 55,544,499,241,496,330,240/4,851,708,759
  6. Step 6: Final answer
    x = 11,448,440,539.32

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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.