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Finding the Third Proportional to 4,771,808 and 7,227,208

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Solution

The third proportional to 4,771,808 and 7,227,208 is: 10,946,068.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771,808 : 7,227,208 = 7,227,208 : x
  2. Step 2: Convert to fraction form
    4,771,808/7,227,208 = 7,227,208/x
  3. Step 3: Cross multiply
    4,771,808x = 7,227,208 × 7,227,208
  4. Step 4: Simplify right side
    4,771,808x = 52,232,535,475,264
  5. Step 5: Solve for x
    x = 52,232,535,475,264/4,771,808
  6. Step 6: Final answer
    x = 10,946,068.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.