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Finding the Third Proportional to 6,903,146 and 10,805,403

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Solution

The third proportional to 6,903,146 and 10,805,403 is: 16,913,554.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,903,146 : 10,805,403 = 10,805,403 : x
  2. Step 2: Convert to fraction form
    6,903,146/10,805,403 = 10,805,403/x
  3. Step 3: Cross multiply
    6,903,146x = 10,805,403 × 10,805,403
  4. Step 4: Simplify right side
    6,903,146x = 116,756,733,992,409
  5. Step 5: Solve for x
    x = 116,756,733,992,409/6,903,146
  6. Step 6: Final answer
    x = 16,913,554.20

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.