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Finding the Third Proportional to 14,684,344 and 31,494,391

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Solution

The third proportional to 14,684,344 and 31,494,391 is: 67,547,904.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,684,344 : 31,494,391 = 31,494,391 : x
  2. Step 2: Convert to fraction form
    14,684,344/31,494,391 = 31,494,391/x
  3. Step 3: Cross multiply
    14,684,344x = 31,494,391 × 31,494,391
  4. Step 4: Simplify right side
    14,684,344x = 991,896,664,460,881
  5. Step 5: Solve for x
    x = 991,896,664,460,881/14,684,344
  6. Step 6: Final answer
    x = 67,547,904.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.