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Finding the Third Proportional to 29,980,143,658 and 46,571,351,571

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Solution

The third proportional to 29,980,143,658 and 46,571,351,571 is: 72,344,242,639.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,980,143,658 : 46,571,351,571 = 46,571,351,571 : x
  2. Step 2: Convert to fraction form
    29,980,143,658/46,571,351,571 = 46,571,351,571/x
  3. Step 3: Cross multiply
    29,980,143,658x = 46,571,351,571 × 46,571,351,571
  4. Step 4: Simplify right side
    29,980,143,658x = 2,168,890,787,149,684,146,176
  5. Step 5: Solve for x
    x = 2,168,890,787,149,684,146,176/29,980,143,658
  6. Step 6: Final answer
    x = 72,344,242,639.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.