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Finding the Third Proportional to 6,733,820 and 14,413,072

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Solution

The third proportional to 6,733,820 and 14,413,072 is: 30,849,747.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,733,820 : 14,413,072 = 14,413,072 : x
  2. Step 2: Convert to fraction form
    6,733,820/14,413,072 = 14,413,072/x
  3. Step 3: Cross multiply
    6,733,820x = 14,413,072 × 14,413,072
  4. Step 4: Simplify right side
    6,733,820x = 207,736,644,477,184
  5. Step 5: Solve for x
    x = 207,736,644,477,184/6,733,820
  6. Step 6: Final answer
    x = 30,849,747.17

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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.