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Finding the Third Proportional to 6,757,968 and 14,705,712

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Solution

The third proportional to 6,757,968 and 14,705,712 is: 32,000,442.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,757,968 : 14,705,712 = 14,705,712 : x
  2. Step 2: Convert to fraction form
    6,757,968/14,705,712 = 14,705,712/x
  3. Step 3: Cross multiply
    6,757,968x = 14,705,712 × 14,705,712
  4. Step 4: Simplify right side
    6,757,968x = 216,257,965,426,944
  5. Step 5: Solve for x
    x = 216,257,965,426,944/6,757,968
  6. Step 6: Final answer
    x = 32,000,442.36

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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.