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Finding the Third Proportional to 770,071,689 and 1,681,257,406.50

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Solution

The third proportional to 770,071,689 and 1,681,257,406.50 is: 3,670,601,720.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,071,689 : 1,681,257,406.50 = 1,681,257,406.50 : x
  2. Step 2: Convert to fraction form
    770,071,689/1,681,257,406.50 = 1,681,257,406.50/x
  3. Step 3: Cross multiply
    770,071,689x = 1,681,257,406.50 × 1,681,257,406.50
  4. Step 4: Simplify right side
    770,071,689x = 2,826,626,466,911,106,048
  5. Step 5: Solve for x
    x = 2,826,626,466,911,106,048/770,071,689
  6. Step 6: Final answer
    x = 3,670,601,720.97

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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.