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Finding the Third Proportional to 721,788,525,746.10 and 1,548,356,449,702.20

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Solution

The third proportional to 721,788,525,746.10 and 1,548,356,449,702.20 is: 3,321,482,137,522.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,788,525,746.10 : 1,548,356,449,702.20 = 1,548,356,449,702.20 : x
  2. Step 2: Convert to fraction form
    721,788,525,746.10/1,548,356,449,702.20 = 1,548,356,449,702.20/x
  3. Step 3: Cross multiply
    721,788,525,746.10x = 1,548,356,449,702.20 × 1,548,356,449,702.20
  4. Step 4: Simplify right side
    721,788,525,746.10x = 2,397,407,695,334,401,204,289,536
  5. Step 5: Solve for x
    x = 2,397,407,695,334,401,204,289,536/721,788,525,746.10
  6. Step 6: Final answer
    x = 3,321,482,137,522.54

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.