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Finding the Third Proportional to 9,570,686 and 14,710,838

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Solution

The third proportional to 9,570,686 and 14,710,838 is: 22,611,624.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570,686 : 14,710,838 = 14,710,838 : x
  2. Step 2: Convert to fraction form
    9,570,686/14,710,838 = 14,710,838/x
  3. Step 3: Cross multiply
    9,570,686x = 14,710,838 × 14,710,838
  4. Step 4: Simplify right side
    9,570,686x = 216,408,754,662,244
  5. Step 5: Solve for x
    x = 216,408,754,662,244/9,570,686
  6. Step 6: Final answer
    x = 22,611,624.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.