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Finding the Third Proportional to 798,537,107,084 and 1,775,615,715,300

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Solution

The third proportional to 798,537,107,084 and 1,775,615,715,300 is: 3,948,233,764,531.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,537,107,084 : 1,775,615,715,300 = 1,775,615,715,300 : x
  2. Step 2: Convert to fraction form
    798,537,107,084/1,775,615,715,300 = 1,775,615,715,300/x
  3. Step 3: Cross multiply
    798,537,107,084x = 1,775,615,715,300 × 1,775,615,715,300
  4. Step 4: Simplify right side
    798,537,107,084x = 3,152,811,168,420,330,765,025,280
  5. Step 5: Solve for x
    x = 3,152,811,168,420,330,765,025,280/798,537,107,084
  6. Step 6: Final answer
    x = 3,948,233,764,531.47

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.