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Finding the Third Proportional to 6,983,981.16 and 10,774,990.41

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Solution

The third proportional to 6,983,981.16 and 10,774,990.41 is: 16,623,816.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,983,981.16 : 10,774,990.41 = 10,774,990.41 : x
  2. Step 2: Convert to fraction form
    6,983,981.16/10,774,990.41 = 10,774,990.41/x
  3. Step 3: Cross multiply
    6,983,981.16x = 10,774,990.41 × 10,774,990.41
  4. Step 4: Simplify right side
    6,983,981.16x = 116,100,418,254,779.55
  5. Step 5: Solve for x
    x = 116,100,418,254,779.55/6,983,981.16
  6. Step 6: Final answer
    x = 16,623,816.08

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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.