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Finding the Third Proportional to 67,470,724 and 103,661,309

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Solution

The third proportional to 67,470,724 and 103,661,309 is: 159,264,142.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,470,724 : 103,661,309 = 103,661,309 : x
  2. Step 2: Convert to fraction form
    67,470,724/103,661,309 = 103,661,309/x
  3. Step 3: Cross multiply
    67,470,724x = 103,661,309 × 103,661,309
  4. Step 4: Simplify right side
    67,470,724x = 10,745,666,983,593,480
  5. Step 5: Solve for x
    x = 10,745,666,983,593,480/67,470,724
  6. Step 6: Final answer
    x = 159,264,142.23

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.