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Finding the Third Proportional to 24,759,166,225 and 54,382,337,820

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Solution

The third proportional to 24,759,166,225 and 54,382,337,820 is: 119,448,233,429.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,759,166,225 : 54,382,337,820 = 54,382,337,820 : x
  2. Step 2: Convert to fraction form
    24,759,166,225/54,382,337,820 = 54,382,337,820/x
  3. Step 3: Cross multiply
    24,759,166,225x = 54,382,337,820 × 54,382,337,820
  4. Step 4: Simplify right side
    24,759,166,225x = 2,957,438,666,768,602,103,808
  5. Step 5: Solve for x
    x = 2,957,438,666,768,602,103,808/24,759,166,225
  6. Step 6: Final answer
    x = 119,448,233,429.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.