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Finding the Third Proportional to 624,586,322.25 and 970,236,484.50

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Solution

The third proportional to 624,586,322.25 and 970,236,484.50 is: 1,507,171,710.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,586,322.25 : 970,236,484.50 = 970,236,484.50 : x
  2. Step 2: Convert to fraction form
    624,586,322.25/970,236,484.50 = 970,236,484.50/x
  3. Step 3: Cross multiply
    624,586,322.25x = 970,236,484.50 × 970,236,484.50
  4. Step 4: Simplify right side
    624,586,322.25x = 941,358,835,854,918,784
  5. Step 5: Solve for x
    x = 941,358,835,854,918,784/624,586,322.25
  6. Step 6: Final answer
    x = 1,507,171,710.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.