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Finding the Third Proportional to 1,114,067,732,320 and 1,672,280,759,440

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Solution

The third proportional to 1,114,067,732,320 and 1,672,280,759,440 is: 2,510,191,128,657.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114,067,732,320 : 1,672,280,759,440 = 1,672,280,759,440 : x
  2. Step 2: Convert to fraction form
    1,114,067,732,320/1,672,280,759,440 = 1,672,280,759,440/x
  3. Step 3: Cross multiply
    1,114,067,732,320x = 1,672,280,759,440 × 1,672,280,759,440
  4. Step 4: Simplify right side
    1,114,067,732,320x = 2,796,522,938,393,223,369,850,880
  5. Step 5: Solve for x
    x = 2,796,522,938,393,223,369,850,880/1,114,067,732,320
  6. Step 6: Final answer
    x = 2,510,191,128,657.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.