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Finding the Third Proportional to 11,627,785,993 and 25,506,736,370

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Solution

The third proportional to 11,627,785,993 and 25,506,736,370 is: 55,951,631,775.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,627,785,993 : 25,506,736,370 = 25,506,736,370 : x
  2. Step 2: Convert to fraction form
    11,627,785,993/25,506,736,370 = 25,506,736,370/x
  3. Step 3: Cross multiply
    11,627,785,993x = 25,506,736,370 × 25,506,736,370
  4. Step 4: Simplify right side
    11,627,785,993x = 650,593,600,248,680,808,448
  5. Step 5: Solve for x
    x = 650,593,600,248,680,808,448/11,627,785,993
  6. Step 6: Final answer
    x = 55,951,631,775.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.