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Finding the Third Proportional to 285,827,972 and 620,041,134

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Solution

The third proportional to 285,827,972 and 620,041,134 is: 1,345,043,332.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,827,972 : 620,041,134 = 620,041,134 : x
  2. Step 2: Convert to fraction form
    285,827,972/620,041,134 = 620,041,134/x
  3. Step 3: Cross multiply
    285,827,972x = 620,041,134 × 620,041,134
  4. Step 4: Simplify right side
    285,827,972x = 384,451,007,852,005,952
  5. Step 5: Solve for x
    x = 384,451,007,852,005,952/285,827,972
  6. Step 6: Final answer
    x = 1,345,043,332.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.