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Finding the Third Proportional to 6,868,022 and 14,931,792

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Solution

The third proportional to 6,868,022 and 14,931,792 is: 32,463,264.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,868,022 : 14,931,792 = 14,931,792 : x
  2. Step 2: Convert to fraction form
    6,868,022/14,931,792 = 14,931,792/x
  3. Step 3: Cross multiply
    6,868,022x = 14,931,792 × 14,931,792
  4. Step 4: Simplify right side
    6,868,022x = 222,958,412,331,264
  5. Step 5: Solve for x
    x = 222,958,412,331,264/6,868,022
  6. Step 6: Final answer
    x = 32,463,264.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.