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Finding the Third Proportional to 294,786,421 and 630,983,323

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Solution

The third proportional to 294,786,421 and 630,983,323 is: 1,350,604,795.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,786,421 : 630,983,323 = 630,983,323 : x
  2. Step 2: Convert to fraction form
    294,786,421/630,983,323 = 630,983,323/x
  3. Step 3: Cross multiply
    294,786,421x = 630,983,323 × 630,983,323
  4. Step 4: Simplify right side
    294,786,421x = 398,139,953,904,122,304
  5. Step 5: Solve for x
    x = 398,139,953,904,122,304/294,786,421
  6. Step 6: Final answer
    x = 1,350,604,795.68

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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.