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Finding the Third Proportional to 263,513,626 and 572,389,640

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Solution

The third proportional to 263,513,626 and 572,389,640 is: 1,243,312,935.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,513,626 : 572,389,640 = 572,389,640 : x
  2. Step 2: Convert to fraction form
    263,513,626/572,389,640 = 572,389,640/x
  3. Step 3: Cross multiply
    263,513,626x = 572,389,640 × 572,389,640
  4. Step 4: Simplify right side
    263,513,626x = 327,629,899,979,329,600
  5. Step 5: Solve for x
    x = 327,629,899,979,329,600/263,513,626
  6. Step 6: Final answer
    x = 1,243,312,935.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.