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Finding the Third Proportional to 12,385,046 and 19,129,787

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Solution

The third proportional to 12,385,046 and 19,129,787 is: 29,547,629.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,385,046 : 19,129,787 = 19,129,787 : x
  2. Step 2: Convert to fraction form
    12,385,046/19,129,787 = 19,129,787/x
  3. Step 3: Cross multiply
    12,385,046x = 19,129,787 × 19,129,787
  4. Step 4: Simplify right side
    12,385,046x = 365,948,750,665,369
  5. Step 5: Solve for x
    x = 365,948,750,665,369/12,385,046
  6. Step 6: Final answer
    x = 29,547,629.51

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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.