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Finding the Third Proportional to 12,415,440 and 19,154,558

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Solution

The third proportional to 12,415,440 and 19,154,558 is: 29,551,678.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415,440 : 19,154,558 = 19,154,558 : x
  2. Step 2: Convert to fraction form
    12,415,440/19,154,558 = 19,154,558/x
  3. Step 3: Cross multiply
    12,415,440x = 19,154,558 × 19,154,558
  4. Step 4: Simplify right side
    12,415,440x = 366,897,092,175,364
  5. Step 5: Solve for x
    x = 366,897,092,175,364/12,415,440
  6. Step 6: Final answer
    x = 29,551,678.57

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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.