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Finding the Third Proportional to 740,006,552 and 1,645,466,884

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Solution

The third proportional to 740,006,552 and 1,645,466,884 is: 3,658,834,180.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,006,552 : 1,645,466,884 = 1,645,466,884 : x
  2. Step 2: Convert to fraction form
    740,006,552/1,645,466,884 = 1,645,466,884/x
  3. Step 3: Cross multiply
    740,006,552x = 1,645,466,884 × 1,645,466,884
  4. Step 4: Simplify right side
    740,006,552x = 2,707,561,266,340,669,440
  5. Step 5: Solve for x
    x = 2,707,561,266,340,669,440/740,006,552
  6. Step 6: Final answer
    x = 3,658,834,180.62

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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.