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Finding the Third Proportional to 9,570,764 and 14,710,951

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Solution

The third proportional to 9,570,764 and 14,710,951 is: 22,611,787.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570,764 : 14,710,951 = 14,710,951 : x
  2. Step 2: Convert to fraction form
    9,570,764/14,710,951 = 14,710,951/x
  3. Step 3: Cross multiply
    9,570,764x = 14,710,951 × 14,710,951
  4. Step 4: Simplify right side
    9,570,764x = 216,412,079,324,401
  5. Step 5: Solve for x
    x = 216,412,079,324,401/9,570,764
  6. Step 6: Final answer
    x = 22,611,787.24

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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.