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Finding the Third Proportional to 34,768,098,855 and 75,312,201,060

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Solution

The third proportional to 34,768,098,855 and 75,312,201,060 is: 163,135,972,782.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,768,098,855 : 75,312,201,060 = 75,312,201,060 : x
  2. Step 2: Convert to fraction form
    34,768,098,855/75,312,201,060 = 75,312,201,060/x
  3. Step 3: Cross multiply
    34,768,098,855x = 75,312,201,060 × 75,312,201,060
  4. Step 4: Simplify right side
    34,768,098,855x = 5,671,927,628,501,865,201,664
  5. Step 5: Solve for x
    x = 5,671,927,628,501,865,201,664/34,768,098,855
  6. Step 6: Final answer
    x = 163,135,972,782.31

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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.