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Finding the Third Proportional to 6,831,216 and 14,718,024

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Solution

The third proportional to 6,831,216 and 14,718,024 is: 31,710,347.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831,216 : 14,718,024 = 14,718,024 : x
  2. Step 2: Convert to fraction form
    6,831,216/14,718,024 = 14,718,024/x
  3. Step 3: Cross multiply
    6,831,216x = 14,718,024 × 14,718,024
  4. Step 4: Simplify right side
    6,831,216x = 216,620,230,464,576
  5. Step 5: Solve for x
    x = 216,620,230,464,576/6,831,216
  6. Step 6: Final answer
    x = 31,710,347.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.