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Finding the Third Proportional to 25,679,686,200 and 52,081,426,704

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Solution

The third proportional to 25,679,686,200 and 52,081,426,704 is: 105,627,264,538.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,679,686,200 : 52,081,426,704 = 52,081,426,704 : x
  2. Step 2: Convert to fraction form
    25,679,686,200/52,081,426,704 = 52,081,426,704/x
  3. Step 3: Cross multiply
    25,679,686,200x = 52,081,426,704 × 52,081,426,704
  4. Step 4: Simplify right side
    25,679,686,200x = 2,712,475,007,524,124,229,632
  5. Step 5: Solve for x
    x = 2,712,475,007,524,124,229,632/25,679,686,200
  6. Step 6: Final answer
    x = 105,627,264,538.93

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.