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Finding the Third Proportional to 4,259,688,868,563 and 8,637,908,555,573

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Solution

The third proportional to 4,259,688,868,563 and 8,637,908,555,573 is: 17,516,177,006,517.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,259,688,868,563 : 8,637,908,555,573 = 8,637,908,555,573 : x
  2. Step 2: Convert to fraction form
    4,259,688,868,563/8,637,908,555,573 = 8,637,908,555,573/x
  3. Step 3: Cross multiply
    4,259,688,868,563x = 8,637,908,555,573 × 8,637,908,555,573
  4. Step 4: Simplify right side
    4,259,688,868,563x = 74,613,464,214,441,231,615,262,720
  5. Step 5: Solve for x
    x = 74,613,464,214,441,231,615,262,720/4,259,688,868,563
  6. Step 6: Final answer
    x = 17,516,177,006,517.38

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.