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Finding the Third Proportional to 6,426,783 and 13,386,222

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Solution

The third proportional to 6,426,783 and 13,386,222 is: 27,881,902.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426,783 : 13,386,222 = 13,386,222 : x
  2. Step 2: Convert to fraction form
    6,426,783/13,386,222 = 13,386,222/x
  3. Step 3: Cross multiply
    6,426,783x = 13,386,222 × 13,386,222
  4. Step 4: Simplify right side
    6,426,783x = 179,190,939,433,284
  5. Step 5: Solve for x
    x = 179,190,939,433,284/6,426,783
  6. Step 6: Final answer
    x = 27,881,902.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.