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Finding the Third Proportional to 299,056,755,051 and 643,470,989,269.50

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Solution

The third proportional to 299,056,755,051 and 643,470,989,269.50 is: 1,384,536,236,143.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,056,755,051 : 643,470,989,269.50 = 643,470,989,269.50 : x
  2. Step 2: Convert to fraction form
    299,056,755,051/643,470,989,269.50 = 643,470,989,269.50/x
  3. Step 3: Cross multiply
    299,056,755,051x = 643,470,989,269.50 × 643,470,989,269.50
  4. Step 4: Simplify right side
    299,056,755,051x = 414,054,914,031,468,981,256,192
  5. Step 5: Solve for x
    x = 414,054,914,031,468,981,256,192/299,056,755,051
  6. Step 6: Final answer
    x = 1,384,536,236,143.06

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.