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Finding the Third Proportional to 310,297,011 and 462,754,644

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Solution

The third proportional to 310,297,011 and 462,754,644 is: 690,118,992.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,297,011 : 462,754,644 = 462,754,644 : x
  2. Step 2: Convert to fraction form
    310,297,011/462,754,644 = 462,754,644/x
  3. Step 3: Cross multiply
    310,297,011x = 462,754,644 × 462,754,644
  4. Step 4: Simplify right side
    310,297,011x = 214,141,860,543,566,720
  5. Step 5: Solve for x
    x = 214,141,860,543,566,720/310,297,011
  6. Step 6: Final answer
    x = 690,118,992.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.