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Finding the Third Proportional to 9,287,202 and 14,071,039

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Solution

The third proportional to 9,287,202 and 14,071,039 is: 21,319,030.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287,202 : 14,071,039 = 14,071,039 : x
  2. Step 2: Convert to fraction form
    9,287,202/14,071,039 = 14,071,039/x
  3. Step 3: Cross multiply
    9,287,202x = 14,071,039 × 14,071,039
  4. Step 4: Simplify right side
    9,287,202x = 197,994,138,539,521
  5. Step 5: Solve for x
    x = 197,994,138,539,521/9,287,202
  6. Step 6: Final answer
    x = 21,319,030.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.