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Finding the Third Proportional to 30,804,228,266 and 67,513,828,924

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Solution

The third proportional to 30,804,228,266 and 67,513,828,924 is: 147,970,501,212.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,804,228,266 : 67,513,828,924 = 67,513,828,924 : x
  2. Step 2: Convert to fraction form
    30,804,228,266/67,513,828,924 = 67,513,828,924/x
  3. Step 3: Cross multiply
    30,804,228,266x = 67,513,828,924 × 67,513,828,924
  4. Step 4: Simplify right side
    30,804,228,266x = 4,558,117,095,979,139,203,072
  5. Step 5: Solve for x
    x = 4,558,117,095,979,139,203,072/30,804,228,266
  6. Step 6: Final answer
    x = 147,970,501,212.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.