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Finding the Third Proportional to 35,564,090,805 and 77,326,673,247

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Solution

The third proportional to 35,564,090,805 and 77,326,673,247 is: 168,130,669,450.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,564,090,805 : 77,326,673,247 = 77,326,673,247 : x
  2. Step 2: Convert to fraction form
    35,564,090,805/77,326,673,247 = 77,326,673,247/x
  3. Step 3: Cross multiply
    35,564,090,805x = 77,326,673,247 × 77,326,673,247
  4. Step 4: Simplify right side
    35,564,090,805x = 5,979,414,395,448,305,123,328
  5. Step 5: Solve for x
    x = 5,979,414,395,448,305,123,328/35,564,090,805
  6. Step 6: Final answer
    x = 168,130,669,450.65

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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.