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Finding the Third Proportional to 523,880,355.38 and 805,241,643.19

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Solution

The third proportional to 523,880,355.38 and 805,241,643.19 is: 1,237,714,102.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,880,355.38 : 805,241,643.19 = 805,241,643.19 : x
  2. Step 2: Convert to fraction form
    523,880,355.38/805,241,643.19 = 805,241,643.19/x
  3. Step 3: Cross multiply
    523,880,355.38x = 805,241,643.19 × 805,241,643.19
  4. Step 4: Simplify right side
    523,880,355.38x = 648,414,103,923,305,088
  5. Step 5: Solve for x
    x = 648,414,103,923,305,088/523,880,355.38
  6. Step 6: Final answer
    x = 1,237,714,102.60

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.