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Finding the Third Proportional to 8,430,294 and 19,894,269

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Solution

The third proportional to 8,430,294 and 19,894,269 is: 46,947,584.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430,294 : 19,894,269 = 19,894,269 : x
  2. Step 2: Convert to fraction form
    8,430,294/19,894,269 = 19,894,269/x
  3. Step 3: Cross multiply
    8,430,294x = 19,894,269 × 19,894,269
  4. Step 4: Simplify right side
    8,430,294x = 395,781,939,044,361
  5. Step 5: Solve for x
    x = 395,781,939,044,361/8,430,294
  6. Step 6: Final answer
    x = 46,947,584.40

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.