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Finding the Third Proportional to 644,807,800.50 and 1,406,344,083

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Solution

The third proportional to 644,807,800.50 and 1,406,344,083 is: 3,067,276,292.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,807,800.50 : 1,406,344,083 = 1,406,344,083 : x
  2. Step 2: Convert to fraction form
    644,807,800.50/1,406,344,083 = 1,406,344,083/x
  3. Step 3: Cross multiply
    644,807,800.50x = 1,406,344,083 × 1,406,344,083
  4. Step 4: Simplify right side
    644,807,800.50x = 1,977,803,679,789,110,784
  5. Step 5: Solve for x
    x = 1,977,803,679,789,110,784/644,807,800.50
  6. Step 6: Final answer
    x = 3,067,276,292.65

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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.