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Finding the Third Proportional to 286,495,272 and 613,832,640

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Solution

The third proportional to 286,495,272 and 613,832,640 is: 1,315,171,825.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,495,272 : 613,832,640 = 613,832,640 : x
  2. Step 2: Convert to fraction form
    286,495,272/613,832,640 = 613,832,640/x
  3. Step 3: Cross multiply
    286,495,272x = 613,832,640 × 613,832,640
  4. Step 4: Simplify right side
    286,495,272x = 376,790,509,929,369,600
  5. Step 5: Solve for x
    x = 376,790,509,929,369,600/286,495,272
  6. Step 6: Final answer
    x = 1,315,171,825.70

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.