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Finding the Third Proportional to 352,595,136 and 761,846,208

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Solution

The third proportional to 352,595,136 and 761,846,208 is: 1,646,107,916.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,595,136 : 761,846,208 = 761,846,208 : x
  2. Step 2: Convert to fraction form
    352,595,136/761,846,208 = 761,846,208/x
  3. Step 3: Cross multiply
    352,595,136x = 761,846,208 × 761,846,208
  4. Step 4: Simplify right side
    352,595,136x = 580,409,644,643,979,264
  5. Step 5: Solve for x
    x = 580,409,644,643,979,264/352,595,136
  6. Step 6: Final answer
    x = 1,646,107,916.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.