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Finding the Third Proportional to 740,006,550 and 1,645,466,880

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Solution

The third proportional to 740,006,550 and 1,645,466,880 is: 3,658,834,172.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,006,550 : 1,645,466,880 = 1,645,466,880 : x
  2. Step 2: Convert to fraction form
    740,006,550/1,645,466,880 = 1,645,466,880/x
  3. Step 3: Cross multiply
    740,006,550x = 1,645,466,880 × 1,645,466,880
  4. Step 4: Simplify right side
    740,006,550x = 2,707,561,253,176,934,400
  5. Step 5: Solve for x
    x = 2,707,561,253,176,934,400/740,006,550
  6. Step 6: Final answer
    x = 3,658,834,172.72

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.