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Finding the Third Proportional to 70,154,656,146 and 163,699,854,741

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Solution

The third proportional to 70,154,656,146 and 163,699,854,741 is: 381,979,528,008.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,154,656,146 : 163,699,854,741 = 163,699,854,741 : x
  2. Step 2: Convert to fraction form
    70,154,656,146/163,699,854,741 = 163,699,854,741/x
  3. Step 3: Cross multiply
    70,154,656,146x = 163,699,854,741 × 163,699,854,741
  4. Step 4: Simplify right side
    70,154,656,146x = 26,797,642,442,224,498,114,560
  5. Step 5: Solve for x
    x = 26,797,642,442,224,498,114,560/70,154,656,146
  6. Step 6: Final answer
    x = 381,979,528,008.17

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.