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Finding the Third Proportional to 35,564,090,802 and 77,326,673,233.50

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Solution

The third proportional to 35,564,090,802 and 77,326,673,233.50 is: 168,130,669,406.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,564,090,802 : 77,326,673,233.50 = 77,326,673,233.50 : x
  2. Step 2: Convert to fraction form
    35,564,090,802/77,326,673,233.50 = 77,326,673,233.50/x
  3. Step 3: Cross multiply
    35,564,090,802x = 77,326,673,233.50 × 77,326,673,233.50
  4. Step 4: Simplify right side
    35,564,090,802x = 5,979,414,393,360,485,449,728
  5. Step 5: Solve for x
    x = 5,979,414,393,360,485,449,728/35,564,090,802
  6. Step 6: Final answer
    x = 168,130,669,406.13

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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.