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Finding the Third Proportional to 12,413,178 and 19,374,293

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Solution

The third proportional to 12,413,178 and 19,374,293 is: 30,239,091.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,413,178 : 19,374,293 = 19,374,293 : x
  2. Step 2: Convert to fraction form
    12,413,178/19,374,293 = 19,374,293/x
  3. Step 3: Cross multiply
    12,413,178x = 19,374,293 × 19,374,293
  4. Step 4: Simplify right side
    12,413,178x = 375,363,229,249,849
  5. Step 5: Solve for x
    x = 375,363,229,249,849/12,413,178
  6. Step 6: Final answer
    x = 30,239,091.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.