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Finding the Third Proportional to 294,786,414 and 630,983,310

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Solution

The third proportional to 294,786,414 and 630,983,310 is: 1,350,604,772.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,786,414 : 630,983,310 = 630,983,310 : x
  2. Step 2: Convert to fraction form
    294,786,414/630,983,310 = 630,983,310/x
  3. Step 3: Cross multiply
    294,786,414x = 630,983,310 × 630,983,310
  4. Step 4: Simplify right side
    294,786,414x = 398,139,937,498,556,096
  5. Step 5: Solve for x
    x = 398,139,937,498,556,096/294,786,414
  6. Step 6: Final answer
    x = 1,350,604,772.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.