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Finding the Third Proportional to 404,893,138,005 and 870,721,301,070

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Solution

The third proportional to 404,893,138,005 and 870,721,301,070 is: 1,872,483,164,008.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,893,138,005 : 870,721,301,070 = 870,721,301,070 : x
  2. Step 2: Convert to fraction form
    404,893,138,005/870,721,301,070 = 870,721,301,070/x
  3. Step 3: Cross multiply
    404,893,138,005x = 870,721,301,070 × 870,721,301,070
  4. Step 4: Simplify right side
    404,893,138,005x = 758,155,584,137,033,546,727,424
  5. Step 5: Solve for x
    x = 758,155,584,137,033,546,727,424/404,893,138,005
  6. Step 6: Final answer
    x = 1,872,483,164,008.75

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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.