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Finding the Third Proportional to 6,460,284 and 9,409,998

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Solution

The third proportional to 6,460,284 and 9,409,998 is: 13,706,527.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460,284 : 9,409,998 = 9,409,998 : x
  2. Step 2: Convert to fraction form
    6,460,284/9,409,998 = 9,409,998/x
  3. Step 3: Cross multiply
    6,460,284x = 9,409,998 × 9,409,998
  4. Step 4: Simplify right side
    6,460,284x = 88,548,062,360,004
  5. Step 5: Solve for x
    x = 88,548,062,360,004/6,460,284
  6. Step 6: Final answer
    x = 13,706,527.82

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