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Finding the Third Proportional to 859,670,532 and 1,841,941,966.50

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Solution

The third proportional to 859,670,532 and 1,841,941,966.50 is: 3,946,570,321.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,670,532 : 1,841,941,966.50 = 1,841,941,966.50 : x
  2. Step 2: Convert to fraction form
    859,670,532/1,841,941,966.50 = 1,841,941,966.50/x
  3. Step 3: Cross multiply
    859,670,532x = 1,841,941,966.50 × 1,841,941,966.50
  4. Step 4: Simplify right side
    859,670,532x = 3,392,750,207,953,887,232
  5. Step 5: Solve for x
    x = 3,392,750,207,953,887,232/859,670,532
  6. Step 6: Final answer
    x = 3,946,570,321.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.