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Finding the Third Proportional to 307,812,901,879.98 and 661,950,587,037.10

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Solution

The third proportional to 307,812,901,879.98 and 661,950,587,037.10 is: 1,423,522,461,217.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,812,901,879.98 : 661,950,587,037.10 = 661,950,587,037.10 : x
  2. Step 2: Convert to fraction form
    307,812,901,879.98/661,950,587,037.10 = 661,950,587,037.10/x
  3. Step 3: Cross multiply
    307,812,901,879.98x = 661,950,587,037.10 × 661,950,587,037.10
  4. Step 4: Simplify right side
    307,812,901,879.98x = 438,178,579,678,761,293,185,024
  5. Step 5: Solve for x
    x = 438,178,579,678,761,293,185,024/307,812,901,879.98
  6. Step 6: Final answer
    x = 1,423,522,461,217.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.