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Finding the Third Proportional to 112,370,808,708 and 162,356,412,555

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Solution

The third proportional to 112,370,808,708 and 162,356,412,555 is: 234,576,977,782.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,370,808,708 : 162,356,412,555 = 162,356,412,555 : x
  2. Step 2: Convert to fraction form
    112,370,808,708/162,356,412,555 = 162,356,412,555/x
  3. Step 3: Cross multiply
    112,370,808,708x = 162,356,412,555 × 162,356,412,555
  4. Step 4: Simplify right side
    112,370,808,708x = 26,359,604,697,729,360,461,824
  5. Step 5: Solve for x
    x = 26,359,604,697,729,360,461,824/112,370,808,708
  6. Step 6: Final answer
    x = 234,576,977,782.78

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.