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Finding the Third Proportional to 11,432,313,326 and 23,804,129,594

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Solution

The third proportional to 11,432,313,326 and 23,804,129,594 is: 49,564,473,048.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,432,313,326 : 23,804,129,594 = 23,804,129,594 : x
  2. Step 2: Convert to fraction form
    11,432,313,326/23,804,129,594 = 23,804,129,594/x
  3. Step 3: Cross multiply
    11,432,313,326x = 23,804,129,594 × 23,804,129,594
  4. Step 4: Simplify right side
    11,432,313,326x = 566,636,585,727,946,588,160
  5. Step 5: Solve for x
    x = 566,636,585,727,946,588,160/11,432,313,326
  6. Step 6: Final answer
    x = 49,564,473,048.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.