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Finding the Third Proportional to 9,502,664,448 and 14,376,302,784

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Solution

The third proportional to 9,502,664,448 and 14,376,302,784 is: 21,749,487,511.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502,664,448 : 14,376,302,784 = 14,376,302,784 : x
  2. Step 2: Convert to fraction form
    9,502,664,448/14,376,302,784 = 14,376,302,784/x
  3. Step 3: Cross multiply
    9,502,664,448x = 14,376,302,784 × 14,376,302,784
  4. Step 4: Simplify right side
    9,502,664,448x = 206,678,081,737,246,146,560
  5. Step 5: Solve for x
    x = 206,678,081,737,246,146,560/9,502,664,448
  6. Step 6: Final answer
    x = 21,749,487,511.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.