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Finding the Third Proportional to 465,835,009.50 and 997,107,792.75

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Solution

The third proportional to 465,835,009.50 and 997,107,792.75 is: 2,134,283,448.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,835,009.50 : 997,107,792.75 = 997,107,792.75 : x
  2. Step 2: Convert to fraction form
    465,835,009.50/997,107,792.75 = 997,107,792.75/x
  3. Step 3: Cross multiply
    465,835,009.50x = 997,107,792.75 × 997,107,792.75
  4. Step 4: Simplify right side
    465,835,009.50x = 994,223,950,362,776,960
  5. Step 5: Solve for x
    x = 994,223,950,362,776,960/465,835,009.50
  6. Step 6: Final answer
    x = 2,134,283,448.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.