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Finding the Third Proportional to 9,821,880 and 21,427,864

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Solution

The third proportional to 9,821,880 and 21,427,864 is: 46,748,011.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,821,880 : 21,427,864 = 21,427,864 : x
  2. Step 2: Convert to fraction form
    9,821,880/21,427,864 = 21,427,864/x
  3. Step 3: Cross multiply
    9,821,880x = 21,427,864 × 21,427,864
  4. Step 4: Simplify right side
    9,821,880x = 459,153,355,602,496
  5. Step 5: Solve for x
    x = 459,153,355,602,496/9,821,880
  6. Step 6: Final answer
    x = 46,748,011.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.