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Finding the Third Proportional to 12,635,782 and 19,409,948

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Solution

The third proportional to 12,635,782 and 19,409,948 is: 29,815,810.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,635,782 : 19,409,948 = 19,409,948 : x
  2. Step 2: Convert to fraction form
    12,635,782/19,409,948 = 19,409,948/x
  3. Step 3: Cross multiply
    12,635,782x = 19,409,948 × 19,409,948
  4. Step 4: Simplify right side
    12,635,782x = 376,746,081,362,704
  5. Step 5: Solve for x
    x = 376,746,081,362,704/12,635,782
  6. Step 6: Final answer
    x = 29,815,810.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.