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Finding the Third Proportional to 3,266,806,856 and 5,021,316,300

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Solution

The third proportional to 3,266,806,856 and 5,021,316,300 is: 7,718,123,077.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266,806,856 : 5,021,316,300 = 5,021,316,300 : x
  2. Step 2: Convert to fraction form
    3,266,806,856/5,021,316,300 = 5,021,316,300/x
  3. Step 3: Cross multiply
    3,266,806,856x = 5,021,316,300 × 5,021,316,300
  4. Step 4: Simplify right side
    3,266,806,856x = 25,213,617,384,645,689,344
  5. Step 5: Solve for x
    x = 25,213,617,384,645,689,344/3,266,806,856
  6. Step 6: Final answer
    x = 7,718,123,077.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.