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Finding the Third Proportional to 9,578,752 and 14,467,648

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Solution

The third proportional to 9,578,752 and 14,467,648 is: 21,851,785.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578,752 : 14,467,648 = 14,467,648 : x
  2. Step 2: Convert to fraction form
    9,578,752/14,467,648 = 14,467,648/x
  3. Step 3: Cross multiply
    9,578,752x = 14,467,648 × 14,467,648
  4. Step 4: Simplify right side
    9,578,752x = 209,312,838,651,904
  5. Step 5: Solve for x
    x = 209,312,838,651,904/9,578,752
  6. Step 6: Final answer
    x = 21,851,785.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.