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Finding the Third Proportional to 740,006,553 and 1,645,466,886

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Solution

The third proportional to 740,006,553 and 1,645,466,886 is: 3,658,834,184.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,006,553 : 1,645,466,886 = 1,645,466,886 : x
  2. Step 2: Convert to fraction form
    740,006,553/1,645,466,886 = 1,645,466,886/x
  3. Step 3: Cross multiply
    740,006,553x = 1,645,466,886 × 1,645,466,886
  4. Step 4: Simplify right side
    740,006,553x = 2,707,561,272,922,536,960
  5. Step 5: Solve for x
    x = 2,707,561,272,922,536,960/740,006,553
  6. Step 6: Final answer
    x = 3,658,834,184.57

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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.