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Finding the Third Proportional to 128,104,420,575 and 266,811,966,182

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Solution

The third proportional to 128,104,420,575 and 266,811,966,182 is: 555,707,796,642.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,104,420,575 : 266,811,966,182 = 266,811,966,182 : x
  2. Step 2: Convert to fraction form
    128,104,420,575/266,811,966,182 = 266,811,966,182/x
  3. Step 3: Cross multiply
    128,104,420,575x = 266,811,966,182 × 266,811,966,182
  4. Step 4: Simplify right side
    128,104,420,575x = 71,188,625,297,904,712,548,352
  5. Step 5: Solve for x
    x = 71,188,625,297,904,712,548,352/128,104,420,575
  6. Step 6: Final answer
    x = 555,707,796,642.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.