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Finding the Third Proportional to 9,952,663,292 and 21,382,328,696

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Solution

The third proportional to 9,952,663,292 and 21,382,328,696 is: 45,937,852,718.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952,663,292 : 21,382,328,696 = 21,382,328,696 : x
  2. Step 2: Convert to fraction form
    9,952,663,292/21,382,328,696 = 21,382,328,696/x
  3. Step 3: Cross multiply
    9,952,663,292x = 21,382,328,696 × 21,382,328,696
  4. Step 4: Simplify right side
    9,952,663,292x = 457,203,980,463,785,050,112
  5. Step 5: Solve for x
    x = 457,203,980,463,785,050,112/9,952,663,292
  6. Step 6: Final answer
    x = 45,937,852,718.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.