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Finding the Third Proportional to 320,352,431,808 and 484,651,684,224

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Solution

The third proportional to 320,352,431,808 and 484,651,684,224 is: 733,215,145,880.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,352,431,808 : 484,651,684,224 = 484,651,684,224 : x
  2. Step 2: Convert to fraction form
    320,352,431,808/484,651,684,224 = 484,651,684,224/x
  3. Step 3: Cross multiply
    320,352,431,808x = 484,651,684,224 × 484,651,684,224
  4. Step 4: Simplify right side
    320,352,431,808x = 234,887,255,021,159,802,994,688
  5. Step 5: Solve for x
    x = 234,887,255,021,159,802,994,688/320,352,431,808
  6. Step 6: Final answer
    x = 733,215,145,880.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.