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Finding the Third Proportional to 306,159,858 and 472,776,771

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Solution

The third proportional to 306,159,858 and 472,776,771 is: 730,069,175.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,159,858 : 472,776,771 = 472,776,771 : x
  2. Step 2: Convert to fraction form
    306,159,858/472,776,771 = 472,776,771/x
  3. Step 3: Cross multiply
    306,159,858x = 472,776,771 × 472,776,771
  4. Step 4: Simplify right side
    306,159,858x = 223,517,875,197,186,432
  5. Step 5: Solve for x
    x = 223,517,875,197,186,432/306,159,858
  6. Step 6: Final answer
    x = 730,069,175.81

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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.