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Finding the Third Proportional to 1,271,075,616 and 2,736,924,228

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Solution

The third proportional to 1,271,075,616 and 2,736,924,228 is: 5,893,240,445.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271,075,616 : 2,736,924,228 = 2,736,924,228 : x
  2. Step 2: Convert to fraction form
    1,271,075,616/2,736,924,228 = 2,736,924,228/x
  3. Step 3: Cross multiply
    1,271,075,616x = 2,736,924,228 × 2,736,924,228
  4. Step 4: Simplify right side
    1,271,075,616x = 7,490,754,229,813,396,480
  5. Step 5: Solve for x
    x = 7,490,754,229,813,396,480/1,271,075,616
  6. Step 6: Final answer
    x = 5,893,240,445.75

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Why These Related Problems?

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