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Finding the Third Proportional to 9,287,352 and 14,071,212

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Solution

The third proportional to 9,287,352 and 14,071,212 is: 21,319,209.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287,352 : 14,071,212 = 14,071,212 : x
  2. Step 2: Convert to fraction form
    9,287,352/14,071,212 = 14,071,212/x
  3. Step 3: Cross multiply
    9,287,352x = 14,071,212 × 14,071,212
  4. Step 4: Simplify right side
    9,287,352x = 197,999,007,148,944
  5. Step 5: Solve for x
    x = 197,999,007,148,944/9,287,352
  6. Step 6: Final answer
    x = 21,319,209.95

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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.