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Finding the Third Proportional to 404,893,138,045.50 and 870,721,301,160

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Solution

The third proportional to 404,893,138,045.50 and 870,721,301,160 is: 1,872,483,164,208.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,893,138,045.50 : 870,721,301,160 = 870,721,301,160 : x
  2. Step 2: Convert to fraction form
    404,893,138,045.50/870,721,301,160 = 870,721,301,160/x
  3. Step 3: Cross multiply
    404,893,138,045.50x = 870,721,301,160 × 870,721,301,160
  4. Step 4: Simplify right side
    404,893,138,045.50x = 758,155,584,293,763,480,027,136
  5. Step 5: Solve for x
    x = 758,155,584,293,763,480,027,136/404,893,138,045.50
  6. Step 6: Final answer
    x = 1,872,483,164,208.54

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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.