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Finding the Third Proportional to 282,725,805,292 and 396,720,272,842

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Solution

The third proportional to 282,725,805,292 and 396,720,272,842 is: 556,677,077,004.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,725,805,292 : 396,720,272,842 = 396,720,272,842 : x
  2. Step 2: Convert to fraction form
    282,725,805,292/396,720,272,842 = 396,720,272,842/x
  3. Step 3: Cross multiply
    282,725,805,292x = 396,720,272,842 × 396,720,272,842
  4. Step 4: Simplify right side
    282,725,805,292x = 157,386,974,883,830,917,234,688
  5. Step 5: Solve for x
    x = 157,386,974,883,830,917,234,688/282,725,805,292
  6. Step 6: Final answer
    x = 556,677,077,004.98

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.