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Finding the Third Proportional to 10,737,578,675 and 23,333,789,263

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Solution

The third proportional to 10,737,578,675 and 23,333,789,263 is: 50,706,564,100.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,737,578,675 : 23,333,789,263 = 23,333,789,263 : x
  2. Step 2: Convert to fraction form
    10,737,578,675/23,333,789,263 = 23,333,789,263/x
  3. Step 3: Cross multiply
    10,737,578,675x = 23,333,789,263 × 23,333,789,263
  4. Step 4: Simplify right side
    10,737,578,675x = 544,465,721,370,094,075,904
  5. Step 5: Solve for x
    x = 544,465,721,370,094,075,904/10,737,578,675
  6. Step 6: Final answer
    x = 50,706,564,100.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.