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Finding the Third Proportional to 1,665,983,969 and 2,437,649,789.50

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Solution

The third proportional to 1,665,983,969 and 2,437,649,789.50 is: 3,566,742,901.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665,983,969 : 2,437,649,789.50 = 2,437,649,789.50 : x
  2. Step 2: Convert to fraction form
    1,665,983,969/2,437,649,789.50 = 2,437,649,789.50/x
  3. Step 3: Cross multiply
    1,665,983,969x = 2,437,649,789.50 × 2,437,649,789.50
  4. Step 4: Simplify right side
    1,665,983,969x = 5,942,136,496,249,394,176
  5. Step 5: Solve for x
    x = 5,942,136,496,249,394,176/1,665,983,969
  6. Step 6: Final answer
    x = 3,566,742,901.98

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.