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Finding the Third Proportional to 72,017,352 and 157,694,706

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Solution

The third proportional to 72,017,352 and 157,694,706 is: 345,300,397.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,017,352 : 157,694,706 = 157,694,706 : x
  2. Step 2: Convert to fraction form
    72,017,352/157,694,706 = 157,694,706/x
  3. Step 3: Cross multiply
    72,017,352x = 157,694,706 × 157,694,706
  4. Step 4: Simplify right side
    72,017,352x = 24,867,620,300,426,436
  5. Step 5: Solve for x
    x = 24,867,620,300,426,436/72,017,352
  6. Step 6: Final answer
    x = 345,300,397.89

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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.