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Finding the Third Proportional to 644,807,806 and 1,406,344,096

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Solution

The third proportional to 644,807,806 and 1,406,344,096 is: 3,067,276,323.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,807,806 : 1,406,344,096 = 1,406,344,096 : x
  2. Step 2: Convert to fraction form
    644,807,806/1,406,344,096 = 1,406,344,096/x
  3. Step 3: Cross multiply
    644,807,806x = 1,406,344,096 × 1,406,344,096
  4. Step 4: Simplify right side
    644,807,806x = 1,977,803,716,354,057,216
  5. Step 5: Solve for x
    x = 1,977,803,716,354,057,216/644,807,806
  6. Step 6: Final answer
    x = 3,067,276,323.19

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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.