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Finding the Third Proportional to 251,931,513 and 552,290,586

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Solution

The third proportional to 251,931,513 and 552,290,586 is: 1,210,745,284.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,931,513 : 552,290,586 = 552,290,586 : x
  2. Step 2: Convert to fraction form
    251,931,513/552,290,586 = 552,290,586/x
  3. Step 3: Cross multiply
    251,931,513x = 552,290,586 × 552,290,586
  4. Step 4: Simplify right side
    251,931,513x = 305,024,891,384,223,424
  5. Step 5: Solve for x
    x = 305,024,891,384,223,424/251,931,513
  6. Step 6: Final answer
    x = 1,210,745,284.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.