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Finding the Third Proportional to 770,071,691 and 1,681,257,411

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Solution

The third proportional to 770,071,691 and 1,681,257,411 is: 3,670,601,731.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,071,691 : 1,681,257,411 = 1,681,257,411 : x
  2. Step 2: Convert to fraction form
    770,071,691/1,681,257,411 = 1,681,257,411/x
  3. Step 3: Cross multiply
    770,071,691x = 1,681,257,411 × 1,681,257,411
  4. Step 4: Simplify right side
    770,071,691x = 2,826,626,482,042,422,784
  5. Step 5: Solve for x
    x = 2,826,626,482,042,422,784/770,071,691
  6. Step 6: Final answer
    x = 3,670,601,731.08

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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.