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Finding the Third Proportional to 309,461,980 and 462,966,011

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Solution

The third proportional to 309,461,980 and 462,966,011 is: 692,613,442.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,461,980 : 462,966,011 = 462,966,011 : x
  2. Step 2: Convert to fraction form
    309,461,980/462,966,011 = 462,966,011/x
  3. Step 3: Cross multiply
    309,461,980x = 462,966,011 × 462,966,011
  4. Step 4: Simplify right side
    309,461,980x = 214,337,527,341,252,128
  5. Step 5: Solve for x
    x = 214,337,527,341,252,128/309,461,980
  6. Step 6: Final answer
    x = 692,613,442.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.