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Finding the Third Proportional to 36,798,866,536 and 80,045,275,160

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Solution

The third proportional to 36,798,866,536 and 80,045,275,160 is: 174,115,310,567.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,798,866,536 : 80,045,275,160 = 80,045,275,160 : x
  2. Step 2: Convert to fraction form
    36,798,866,536/80,045,275,160 = 80,045,275,160/x
  3. Step 3: Cross multiply
    36,798,866,536x = 80,045,275,160 × 80,045,275,160
  4. Step 4: Simplify right side
    36,798,866,536x = 6,407,246,075,440,113,123,328
  5. Step 5: Solve for x
    x = 6,407,246,075,440,113,123,328/36,798,866,536
  6. Step 6: Final answer
    x = 174,115,310,567.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.