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Finding the Third Proportional to 632,954,238,399 and 1,357,792,126,688

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Solution

The third proportional to 632,954,238,399 and 1,357,792,126,688 is: 2,912,689,966,274.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,954,238,399 : 1,357,792,126,688 = 1,357,792,126,688 : x
  2. Step 2: Convert to fraction form
    632,954,238,399/1,357,792,126,688 = 1,357,792,126,688/x
  3. Step 3: Cross multiply
    632,954,238,399x = 1,357,792,126,688 × 1,357,792,126,688
  4. Step 4: Simplify right side
    632,954,238,399x = 1,843,599,459,295,921,824,595,968
  5. Step 5: Solve for x
    x = 1,843,599,459,295,921,824,595,968/632,954,238,399
  6. Step 6: Final answer
    x = 2,912,689,966,274.87

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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.