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Finding the Third Proportional to 6,948,492 and 10,024,122

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Solution

The third proportional to 6,948,492 and 10,024,122 is: 14,461,126.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948,492 : 10,024,122 = 10,024,122 : x
  2. Step 2: Convert to fraction form
    6,948,492/10,024,122 = 10,024,122/x
  3. Step 3: Cross multiply
    6,948,492x = 10,024,122 × 10,024,122
  4. Step 4: Simplify right side
    6,948,492x = 100,483,021,870,884
  5. Step 5: Solve for x
    x = 100,483,021,870,884/6,948,492
  6. Step 6: Final answer
    x = 14,461,126.51

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.