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Finding the Third Proportional to 2,776,023 and 6,426,021

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Solution

The third proportional to 2,776,023 and 6,426,021 is: 14,875,145.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776,023 : 6,426,021 = 6,426,021 : x
  2. Step 2: Convert to fraction form
    2,776,023/6,426,021 = 6,426,021/x
  3. Step 3: Cross multiply
    2,776,023x = 6,426,021 × 6,426,021
  4. Step 4: Simplify right side
    2,776,023x = 41,293,745,892,441
  5. Step 5: Solve for x
    x = 41,293,745,892,441/2,776,023
  6. Step 6: Final answer
    x = 14,875,145.45

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.