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Finding the Third Proportional to 460,516,833 and 751,902,871.50

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Solution

The third proportional to 460,516,833 and 751,902,871.50 is: 1,227,659,637.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,516,833 : 751,902,871.50 = 751,902,871.50 : x
  2. Step 2: Convert to fraction form
    460,516,833/751,902,871.50 = 751,902,871.50/x
  3. Step 3: Cross multiply
    460,516,833x = 751,902,871.50 × 751,902,871.50
  4. Step 4: Simplify right side
    460,516,833x = 565,357,928,169,945,536
  5. Step 5: Solve for x
    x = 565,357,928,169,945,536/460,516,833
  6. Step 6: Final answer
    x = 1,227,659,637.30

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.