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Finding the Third Proportional to 9,855,892,696 and 15,032,081,124

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Solution

The third proportional to 9,855,892,696 and 15,032,081,124 is: 22,926,737,322.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855,892,696 : 15,032,081,124 = 15,032,081,124 : x
  2. Step 2: Convert to fraction form
    9,855,892,696/15,032,081,124 = 15,032,081,124/x
  3. Step 3: Cross multiply
    9,855,892,696x = 15,032,081,124 × 15,032,081,124
  4. Step 4: Simplify right side
    9,855,892,696x = 225,963,462,918,517,096,448
  5. Step 5: Solve for x
    x = 225,963,462,918,517,096,448/9,855,892,696
  6. Step 6: Final answer
    x = 22,926,737,322.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.