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Finding the Third Proportional to 388,515,034,264.50 and 866,362,265,617.50

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Solution

The third proportional to 388,515,034,264.50 and 866,362,265,617.50 is: 1,931,929,292,535.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,515,034,264.50 : 866,362,265,617.50 = 866,362,265,617.50 : x
  2. Step 2: Convert to fraction form
    388,515,034,264.50/866,362,265,617.50 = 866,362,265,617.50/x
  3. Step 3: Cross multiply
    388,515,034,264.50x = 866,362,265,617.50 × 866,362,265,617.50
  4. Step 4: Simplify right side
    388,515,034,264.50x = 750,583,575,285,887,664,128,000
  5. Step 5: Solve for x
    x = 750,583,575,285,887,664,128,000/388,515,034,264.50
  6. Step 6: Final answer
    x = 1,931,929,292,535.16

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.