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Finding the Third Proportional to 7,872,796 and 16,953,032

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Solution

The third proportional to 7,872,796 and 16,953,032 is: 36,506,127.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872,796 : 16,953,032 = 16,953,032 : x
  2. Step 2: Convert to fraction form
    7,872,796/16,953,032 = 16,953,032/x
  3. Step 3: Cross multiply
    7,872,796x = 16,953,032 × 16,953,032
  4. Step 4: Simplify right side
    7,872,796x = 287,405,293,993,024
  5. Step 5: Solve for x
    x = 287,405,293,993,024/7,872,796
  6. Step 6: Final answer
    x = 36,506,127.43

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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.