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Finding the Third Proportional to 66,945,653,400 and 145,658,692,932

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Solution

The third proportional to 66,945,653,400 and 145,658,692,932 is: 316,920,572,869.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,945,653,400 : 145,658,692,932 = 145,658,692,932 : x
  2. Step 2: Convert to fraction form
    66,945,653,400/145,658,692,932 = 145,658,692,932/x
  3. Step 3: Cross multiply
    66,945,653,400x = 145,658,692,932 × 145,658,692,932
  4. Step 4: Simplify right side
    66,945,653,400x = 21,216,454,826,658,667,429,888
  5. Step 5: Solve for x
    x = 21,216,454,826,658,667,429,888/66,945,653,400
  6. Step 6: Final answer
    x = 316,920,572,869.62

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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.