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Finding the Third Proportional to 232,483,763,745 and 363,900,586,824

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Solution

The third proportional to 232,483,763,745 and 363,900,586,824 is: 569,603,807,843.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,483,763,745 : 363,900,586,824 = 363,900,586,824 : x
  2. Step 2: Convert to fraction form
    232,483,763,745/363,900,586,824 = 363,900,586,824/x
  3. Step 3: Cross multiply
    232,483,763,745x = 363,900,586,824 × 363,900,586,824
  4. Step 4: Simplify right side
    232,483,763,745x = 132,423,637,090,851,566,387,200
  5. Step 5: Solve for x
    x = 132,423,637,090,851,566,387,200/232,483,763,745
  6. Step 6: Final answer
    x = 569,603,807,843.12

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.