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Finding the Third Proportional to 584,179,171.88 and 835,321,955.06

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Solution

The third proportional to 584,179,171.88 and 835,321,955.06 is: 1,194,432,807.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,179,171.88 : 835,321,955.06 = 835,321,955.06 : x
  2. Step 2: Convert to fraction form
    584,179,171.88/835,321,955.06 = 835,321,955.06/x
  3. Step 3: Cross multiply
    584,179,171.88x = 835,321,955.06 × 835,321,955.06
  4. Step 4: Simplify right side
    584,179,171.88x = 697,762,768,609,437,312
  5. Step 5: Solve for x
    x = 697,762,768,609,437,312/584,179,171.88
  6. Step 6: Final answer
    x = 1,194,432,807.95

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.