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Finding the Third Proportional to 447,755,333.63 and 968,852,805.75

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Solution

The third proportional to 447,755,333.63 and 968,852,805.75 is: 2,096,403,300.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,755,333.63 : 968,852,805.75 = 968,852,805.75 : x
  2. Step 2: Convert to fraction form
    447,755,333.63/968,852,805.75 = 968,852,805.75/x
  3. Step 3: Cross multiply
    447,755,333.63x = 968,852,805.75 × 968,852,805.75
  4. Step 4: Simplify right side
    447,755,333.63x = 938,675,759,209,647,232
  5. Step 5: Solve for x
    x = 938,675,759,209,647,232/447,755,333.63
  6. Step 6: Final answer
    x = 2,096,403,300.46

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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.