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Finding the Third Proportional to 43,774,533,772 and 88,767,145,376

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Solution

The third proportional to 43,774,533,772 and 88,767,145,376 is: 180,004,340,862.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,774,533,772 : 88,767,145,376 = 88,767,145,376 : x
  2. Step 2: Convert to fraction form
    43,774,533,772/88,767,145,376 = 88,767,145,376/x
  3. Step 3: Cross multiply
    43,774,533,772x = 88,767,145,376 × 88,767,145,376
  4. Step 4: Simplify right side
    43,774,533,772x = 7,879,606,098,203,917,680,640
  5. Step 5: Solve for x
    x = 7,879,606,098,203,917,680,640/43,774,533,772
  6. Step 6: Final answer
    x = 180,004,340,862.77

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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.