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Finding the Third Proportional to 7,129,712 and 14,846,944

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Solution

The third proportional to 7,129,712 and 14,846,944 is: 30,917,342.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129,712 : 14,846,944 = 14,846,944 : x
  2. Step 2: Convert to fraction form
    7,129,712/14,846,944 = 14,846,944/x
  3. Step 3: Cross multiply
    7,129,712x = 14,846,944 × 14,846,944
  4. Step 4: Simplify right side
    7,129,712x = 220,431,746,139,136
  5. Step 5: Solve for x
    x = 220,431,746,139,136/7,129,712
  6. Step 6: Final answer
    x = 30,917,342.26

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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.