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Finding the Third Proportional to 770,071,656 and 1,681,257,332

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Solution

The third proportional to 770,071,656 and 1,681,257,332 is: 3,670,601,552.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,071,656 : 1,681,257,332 = 1,681,257,332 : x
  2. Step 2: Convert to fraction form
    770,071,656/1,681,257,332 = 1,681,257,332/x
  3. Step 3: Cross multiply
    770,071,656x = 1,681,257,332 × 1,681,257,332
  4. Step 4: Simplify right side
    770,071,656x = 2,826,626,216,403,758,080
  5. Step 5: Solve for x
    x = 2,826,626,216,403,758,080/770,071,656
  6. Step 6: Final answer
    x = 3,670,601,552.96

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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.