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Finding the Third Proportional to 307,812,901,854 and 661,950,586,986

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Solution

The third proportional to 307,812,901,854 and 661,950,586,986 is: 1,423,522,461,118.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,812,901,854 : 661,950,586,986 = 661,950,586,986 : x
  2. Step 2: Convert to fraction form
    307,812,901,854/661,950,586,986 = 661,950,586,986/x
  3. Step 3: Cross multiply
    307,812,901,854x = 661,950,586,986 × 661,950,586,986
  4. Step 4: Simplify right side
    307,812,901,854x = 438,178,579,611,109,921,128,448
  5. Step 5: Solve for x
    x = 438,178,579,611,109,921,128,448/307,812,901,854
  6. Step 6: Final answer
    x = 1,423,522,461,118.10

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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.