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Finding the Third Proportional to 4,737,099,480 and 10,264,982,736

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Solution

The third proportional to 4,737,099,480 and 10,264,982,736 is: 22,243,541,858.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737,099,480 : 10,264,982,736 = 10,264,982,736 : x
  2. Step 2: Convert to fraction form
    4,737,099,480/10,264,982,736 = 10,264,982,736/x
  3. Step 3: Cross multiply
    4,737,099,480x = 10,264,982,736 × 10,264,982,736
  4. Step 4: Simplify right side
    4,737,099,480x = 105,369,870,570,378,051,584
  5. Step 5: Solve for x
    x = 105,369,870,570,378,051,584/4,737,099,480
  6. Step 6: Final answer
    x = 22,243,541,858.31

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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.