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Finding the Third Proportional to 6,460,272 and 9,409,986

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Solution

The third proportional to 6,460,272 and 9,409,986 is: 13,706,518.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460,272 : 9,409,986 = 9,409,986 : x
  2. Step 2: Convert to fraction form
    6,460,272/9,409,986 = 9,409,986/x
  3. Step 3: Cross multiply
    6,460,272x = 9,409,986 × 9,409,986
  4. Step 4: Simplify right side
    6,460,272x = 88,547,836,520,196
  5. Step 5: Solve for x
    x = 88,547,836,520,196/6,460,272
  6. Step 6: Final answer
    x = 13,706,518.32

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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.