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Finding the Third Proportional to 1,283,509,484 and 2,813,076,152

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Solution

The third proportional to 1,283,509,484 and 2,813,076,152 is: 6,165,437,447.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283,509,484 : 2,813,076,152 = 2,813,076,152 : x
  2. Step 2: Convert to fraction form
    1,283,509,484/2,813,076,152 = 2,813,076,152/x
  3. Step 3: Cross multiply
    1,283,509,484x = 2,813,076,152 × 2,813,076,152
  4. Step 4: Simplify right side
    1,283,509,484x = 7,913,397,436,951,127,040
  5. Step 5: Solve for x
    x = 7,913,397,436,951,127,040/1,283,509,484
  6. Step 6: Final answer
    x = 6,165,437,447.56

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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.