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Finding the Third Proportional to 6,460,264 and 9,409,974

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Solution

The third proportional to 6,460,264 and 9,409,974 is: 13,706,500.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460,264 : 9,409,974 = 9,409,974 : x
  2. Step 2: Convert to fraction form
    6,460,264/9,409,974 = 9,409,974/x
  3. Step 3: Cross multiply
    6,460,264x = 9,409,974 × 9,409,974
  4. Step 4: Simplify right side
    6,460,264x = 88,547,610,680,676
  5. Step 5: Solve for x
    x = 88,547,610,680,676/6,460,264
  6. Step 6: Final answer
    x = 13,706,500.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.