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Finding the Third Proportional to 6,666,076 and 14,276,864

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Solution

The third proportional to 6,666,076 and 14,276,864 is: 30,577,035.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,666,076 : 14,276,864 = 14,276,864 : x
  2. Step 2: Convert to fraction form
    6,666,076/14,276,864 = 14,276,864/x
  3. Step 3: Cross multiply
    6,666,076x = 14,276,864 × 14,276,864
  4. Step 4: Simplify right side
    6,666,076x = 203,828,845,674,496
  5. Step 5: Solve for x
    x = 203,828,845,674,496/6,666,076
  6. Step 6: Final answer
    x = 30,577,035.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.