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Finding the Third Proportional to 1,064,171,651,733 and 2,203,775,513,370

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Solution

The third proportional to 1,064,171,651,733 and 2,203,775,513,370 is: 4,563,762,345,501.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064,171,651,733 : 2,203,775,513,370 = 2,203,775,513,370 : x
  2. Step 2: Convert to fraction form
    1,064,171,651,733/2,203,775,513,370 = 2,203,775,513,370/x
  3. Step 3: Cross multiply
    1,064,171,651,733x = 2,203,775,513,370 × 2,203,775,513,370
  4. Step 4: Simplify right side
    1,064,171,651,733x = 4,856,626,513,329,207,375,822,848
  5. Step 5: Solve for x
    x = 4,856,626,513,329,207,375,822,848/1,064,171,651,733
  6. Step 6: Final answer
    x = 4,563,762,345,501.51

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.