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Finding the Third Proportional to 507,631,238,455.90 and 767,975,690,964.30

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Solution

The third proportional to 507,631,238,455.90 and 767,975,690,964.30 is: 1,161,840,756,108.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,631,238,455.90 : 767,975,690,964.30 = 767,975,690,964.30 : x
  2. Step 2: Convert to fraction form
    507,631,238,455.90/767,975,690,964.30 = 767,975,690,964.30/x
  3. Step 3: Cross multiply
    507,631,238,455.90x = 767,975,690,964.30 × 767,975,690,964.30
  4. Step 4: Simplify right side
    507,631,238,455.90x = 589,786,661,912,094,091,247,616
  5. Step 5: Solve for x
    x = 589,786,661,912,094,091,247,616/507,631,238,455.90
  6. Step 6: Final answer
    x = 1,161,840,756,108.89

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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.