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Finding the Third Proportional to 46,777,912,562 and 101,011,413,124

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Solution

The third proportional to 46,777,912,562 and 101,011,413,124 is: 218,122,293,674.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,777,912,562 : 101,011,413,124 = 101,011,413,124 : x
  2. Step 2: Convert to fraction form
    46,777,912,562/101,011,413,124 = 101,011,413,124/x
  3. Step 3: Cross multiply
    46,777,912,562x = 101,011,413,124 × 101,011,413,124
  4. Step 4: Simplify right side
    46,777,912,562x = 10,203,305,581,307,400,028,160
  5. Step 5: Solve for x
    x = 10,203,305,581,307,400,028,160/46,777,912,562
  6. Step 6: Final answer
    x = 218,122,293,674.05

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Why These Related Problems?

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