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Finding the Third Proportional to 31,409,694 and 67,862,547

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Solution

The third proportional to 31,409,694 and 67,862,547 is: 146,621,144.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,409,694 : 67,862,547 = 67,862,547 : x
  2. Step 2: Convert to fraction form
    31,409,694/67,862,547 = 67,862,547/x
  3. Step 3: Cross multiply
    31,409,694x = 67,862,547 × 67,862,547
  4. Step 4: Simplify right side
    31,409,694x = 4,605,325,285,327,209
  5. Step 5: Solve for x
    x = 4,605,325,285,327,209/31,409,694
  6. Step 6: Final answer
    x = 146,621,144.58

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.