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Finding the Third Proportional to 59,507,173,746 and 129,474,278,604

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Solution

The third proportional to 59,507,173,746 and 129,474,278,604 is: 281,707,023,956.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,507,173,746 : 129,474,278,604 = 129,474,278,604 : x
  2. Step 2: Convert to fraction form
    59,507,173,746/129,474,278,604 = 129,474,278,604/x
  3. Step 3: Cross multiply
    59,507,173,746x = 129,474,278,604 × 129,474,278,604
  4. Step 4: Simplify right side
    59,507,173,746x = 16,763,588,820,026,211,172,352
  5. Step 5: Solve for x
    x = 16,763,588,820,026,211,172,352/59,507,173,746
  6. Step 6: Final answer
    x = 281,707,023,956.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.