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Finding the Third Proportional to 46,777,912,564 and 101,011,413,128

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Solution

The third proportional to 46,777,912,564 and 101,011,413,128 is: 218,122,293,682.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,777,912,564 : 101,011,413,128 = 101,011,413,128 : x
  2. Step 2: Convert to fraction form
    46,777,912,564/101,011,413,128 = 101,011,413,128/x
  3. Step 3: Cross multiply
    46,777,912,564x = 101,011,413,128 × 101,011,413,128
  4. Step 4: Simplify right side
    46,777,912,564x = 10,203,305,582,115,491,414,016
  5. Step 5: Solve for x
    x = 10,203,305,582,115,491,414,016/46,777,912,564
  6. Step 6: Final answer
    x = 218,122,293,682.00

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.