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Finding the Third Proportional to 644,807,804 and 1,406,344,092

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Solution

The third proportional to 644,807,804 and 1,406,344,092 is: 3,067,276,315.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,807,804 : 1,406,344,092 = 1,406,344,092 : x
  2. Step 2: Convert to fraction form
    644,807,804/1,406,344,092 = 1,406,344,092/x
  3. Step 3: Cross multiply
    644,807,804x = 1,406,344,092 × 1,406,344,092
  4. Step 4: Simplify right side
    644,807,804x = 1,977,803,705,103,304,448
  5. Step 5: Solve for x
    x = 1,977,803,705,103,304,448/644,807,804
  6. Step 6: Final answer
    x = 3,067,276,315.26

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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.