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Finding the Third Proportional to 5,413,918 and 12,038,294

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Solution

The third proportional to 5,413,918 and 12,038,294 is: 26,768,141.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413,918 : 12,038,294 = 12,038,294 : x
  2. Step 2: Convert to fraction form
    5,413,918/12,038,294 = 12,038,294/x
  3. Step 3: Cross multiply
    5,413,918x = 12,038,294 × 12,038,294
  4. Step 4: Simplify right side
    5,413,918x = 144,920,522,430,436
  5. Step 5: Solve for x
    x = 144,920,522,430,436/5,413,918
  6. Step 6: Final answer
    x = 26,768,141.38

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.