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Finding the Third Proportional to 67,470,720 and 103,661,303

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Solution

The third proportional to 67,470,720 and 103,661,303 is: 159,264,133.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,470,720 : 103,661,303 = 103,661,303 : x
  2. Step 2: Convert to fraction form
    67,470,720/103,661,303 = 103,661,303/x
  3. Step 3: Cross multiply
    67,470,720x = 103,661,303 × 103,661,303
  4. Step 4: Simplify right side
    67,470,720x = 10,745,665,739,657,808
  5. Step 5: Solve for x
    x = 10,745,665,739,657,808/67,470,720
  6. Step 6: Final answer
    x = 159,264,133.24

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Why These Related Problems?

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