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Finding the Third Proportional to 1,283,509,536 and 2,813,076,260

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Solution

The third proportional to 1,283,509,536 and 2,813,076,260 is: 6,165,437,671.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283,509,536 : 2,813,076,260 = 2,813,076,260 : x
  2. Step 2: Convert to fraction form
    1,283,509,536/2,813,076,260 = 2,813,076,260/x
  3. Step 3: Cross multiply
    1,283,509,536x = 2,813,076,260 × 2,813,076,260
  4. Step 4: Simplify right side
    1,283,509,536x = 7,913,398,044,575,587,328
  5. Step 5: Solve for x
    x = 7,913,398,044,575,587,328/1,283,509,536
  6. Step 6: Final answer
    x = 6,165,437,671.18

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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.