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Finding the Third Proportional to 11,432,313,360 and 23,804,129,652

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Solution

The third proportional to 11,432,313,360 and 23,804,129,652 is: 49,564,473,142.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,432,313,360 : 23,804,129,652 = 23,804,129,652 : x
  2. Step 2: Convert to fraction form
    11,432,313,360/23,804,129,652 = 23,804,129,652/x
  3. Step 3: Cross multiply
    11,432,313,360x = 23,804,129,652 × 23,804,129,652
  4. Step 4: Simplify right side
    11,432,313,360x = 566,636,588,489,225,666,560
  5. Step 5: Solve for x
    x = 566,636,588,489,225,666,560/11,432,313,360
  6. Step 6: Final answer
    x = 49,564,473,142.58

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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.