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Finding the Third Proportional to 1,283,509,541 and 2,813,076,265

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Solution

The third proportional to 1,283,509,541 and 2,813,076,265 is: 6,165,437,669.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283,509,541 : 2,813,076,265 = 2,813,076,265 : x
  2. Step 2: Convert to fraction form
    1,283,509,541/2,813,076,265 = 2,813,076,265/x
  3. Step 3: Cross multiply
    1,283,509,541x = 2,813,076,265 × 2,813,076,265
  4. Step 4: Simplify right side
    1,283,509,541x = 7,913,398,072,706,350,080
  5. Step 5: Solve for x
    x = 7,913,398,072,706,350,080/1,283,509,541
  6. Step 6: Final answer
    x = 6,165,437,669.08

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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.