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Finding the Third Proportional to 4,259,688,868,560 and 8,637,908,555,567

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Solution

The third proportional to 4,259,688,868,560 and 8,637,908,555,567 is: 17,516,177,006,505.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,259,688,868,560 : 8,637,908,555,567 = 8,637,908,555,567 : x
  2. Step 2: Convert to fraction form
    4,259,688,868,560/8,637,908,555,567 = 8,637,908,555,567/x
  3. Step 3: Cross multiply
    4,259,688,868,560x = 8,637,908,555,567 × 8,637,908,555,567
  4. Step 4: Simplify right side
    4,259,688,868,560x = 74,613,464,214,337,576,874,541,056
  5. Step 5: Solve for x
    x = 74,613,464,214,337,576,874,541,056/4,259,688,868,560
  6. Step 6: Final answer
    x = 17,516,177,006,505.38

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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.