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Finding the Third Proportional to 46,777,912,560 and 101,011,413,120

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Solution

The third proportional to 46,777,912,560 and 101,011,413,120 is: 218,122,293,666.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,777,912,560 : 101,011,413,120 = 101,011,413,120 : x
  2. Step 2: Convert to fraction form
    46,777,912,560/101,011,413,120 = 101,011,413,120/x
  3. Step 3: Cross multiply
    46,777,912,560x = 101,011,413,120 × 101,011,413,120
  4. Step 4: Simplify right side
    46,777,912,560x = 10,203,305,580,499,308,642,304
  5. Step 5: Solve for x
    x = 10,203,305,580,499,308,642,304/46,777,912,560
  6. Step 6: Final answer
    x = 218,122,293,666.10

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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.