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Finding the Third Proportional to 1,283,509,480 and 2,813,076,144

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Solution

The third proportional to 1,283,509,480 and 2,813,076,144 is: 6,165,437,431.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283,509,480 : 2,813,076,144 = 2,813,076,144 : x
  2. Step 2: Convert to fraction form
    1,283,509,480/2,813,076,144 = 2,813,076,144/x
  3. Step 3: Cross multiply
    1,283,509,480x = 2,813,076,144 × 2,813,076,144
  4. Step 4: Simplify right side
    1,283,509,480x = 7,913,397,391,941,908,480
  5. Step 5: Solve for x
    x = 7,913,397,391,941,908,480/1,283,509,480
  6. Step 6: Final answer
    x = 6,165,437,431.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.