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Finding the Third Proportional to 4,775,349,175 and 10,276,292,462

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Solution

The third proportional to 4,775,349,175 and 10,276,292,462 is: 22,114,024,104.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775,349,175 : 10,276,292,462 = 10,276,292,462 : x
  2. Step 2: Convert to fraction form
    4,775,349,175/10,276,292,462 = 10,276,292,462/x
  3. Step 3: Cross multiply
    4,775,349,175x = 10,276,292,462 × 10,276,292,462
  4. Step 4: Simplify right side
    4,775,349,175x = 105,602,186,764,558,024,704
  5. Step 5: Solve for x
    x = 105,602,186,764,558,024,704/4,775,349,175
  6. Step 6: Final answer
    x = 22,114,024,104.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.