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Finding the Third Proportional to 404,893,138,036 and 870,721,301,142

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Solution

The third proportional to 404,893,138,036 and 870,721,301,142 is: 1,872,483,164,175.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,893,138,036 : 870,721,301,142 = 870,721,301,142 : x
  2. Step 2: Convert to fraction form
    404,893,138,036/870,721,301,142 = 870,721,301,142/x
  3. Step 3: Cross multiply
    404,893,138,036x = 870,721,301,142 × 870,721,301,142
  4. Step 4: Simplify right side
    404,893,138,036x = 758,155,584,262,417,466,523,648
  5. Step 5: Solve for x
    x = 758,155,584,262,417,466,523,648/404,893,138,036
  6. Step 6: Final answer
    x = 1,872,483,164,175.06

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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.