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Finding the Third Proportional to 462,035,670.75 and 693,142,930.13

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Solution

The third proportional to 462,035,670.75 and 693,142,930.13 is: 1,039,848,548.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,035,670.75 : 693,142,930.13 = 693,142,930.13 : x
  2. Step 2: Convert to fraction form
    462,035,670.75/693,142,930.13 = 693,142,930.13/x
  3. Step 3: Cross multiply
    462,035,670.75x = 693,142,930.13 × 693,142,930.13
  4. Step 4: Simplify right side
    462,035,670.75x = 480,447,121,582,270,656
  5. Step 5: Solve for x
    x = 480,447,121,582,270,656/462,035,670.75
  6. Step 6: Final answer
    x = 1,039,848,548.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.