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Finding the Third Proportional to 6,547,512 and 9,911,824

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Solution

The third proportional to 6,547,512 and 9,911,824 is: 15,004,822.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547,512 : 9,911,824 = 9,911,824 : x
  2. Step 2: Convert to fraction form
    6,547,512/9,911,824 = 9,911,824/x
  3. Step 3: Cross multiply
    6,547,512x = 9,911,824 × 9,911,824
  4. Step 4: Simplify right side
    6,547,512x = 98,244,255,006,976
  5. Step 5: Solve for x
    x = 98,244,255,006,976/6,547,512
  6. Step 6: Final answer
    x = 15,004,822.44

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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.