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Finding the Third Proportional to 507,631,238,457 and 767,975,690,965.75

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Solution

The third proportional to 507,631,238,457 and 767,975,690,965.75 is: 1,161,840,756,110.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,631,238,457 : 767,975,690,965.75 = 767,975,690,965.75 : x
  2. Step 2: Convert to fraction form
    507,631,238,457/767,975,690,965.75 = 767,975,690,965.75/x
  3. Step 3: Cross multiply
    507,631,238,457x = 767,975,690,965.75 × 767,975,690,965.75
  4. Step 4: Simplify right side
    507,631,238,457x = 589,786,661,914,321,166,008,320
  5. Step 5: Solve for x
    x = 589,786,661,914,321,166,008,320/507,631,238,457
  6. Step 6: Final answer
    x = 1,161,840,756,110.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.