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Finding the Third Proportional to 45,802,947 and 98,779,782

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Solution

The third proportional to 45,802,947 and 98,779,782 is: 213,030,950.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,802,947 : 98,779,782 = 98,779,782 : x
  2. Step 2: Convert to fraction form
    45,802,947/98,779,782 = 98,779,782/x
  3. Step 3: Cross multiply
    45,802,947x = 98,779,782 × 98,779,782
  4. Step 4: Simplify right side
    45,802,947x = 9,757,445,331,967,524
  5. Step 5: Solve for x
    x = 9,757,445,331,967,524/45,802,947
  6. Step 6: Final answer
    x = 213,030,950.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.