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Finding the Third Proportional to 2,183,956,558,377 and 4,748,042,429,592

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Solution

The third proportional to 2,183,956,558,377 and 4,748,042,429,592 is: 10,322,507,023,655.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183,956,558,377 : 4,748,042,429,592 = 4,748,042,429,592 : x
  2. Step 2: Convert to fraction form
    2,183,956,558,377/4,748,042,429,592 = 4,748,042,429,592/x
  3. Step 3: Cross multiply
    2,183,956,558,377x = 4,748,042,429,592 × 4,748,042,429,592
  4. Step 4: Simplify right side
    2,183,956,558,377x = 22,543,906,913,205,900,275,613,696
  5. Step 5: Solve for x
    x = 22,543,906,913,205,900,275,613,696/2,183,956,558,377
  6. Step 6: Final answer
    x = 10,322,507,023,655.88

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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.