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Finding the Third Proportional to 534,273,066 and 805,614,003

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Solution

The third proportional to 534,273,066 and 805,614,003 is: 1,214,760,696.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,273,066 : 805,614,003 = 805,614,003 : x
  2. Step 2: Convert to fraction form
    534,273,066/805,614,003 = 805,614,003/x
  3. Step 3: Cross multiply
    534,273,066x = 805,614,003 × 805,614,003
  4. Step 4: Simplify right side
    534,273,066x = 649,013,921,829,683,968
  5. Step 5: Solve for x
    x = 649,013,921,829,683,968/534,273,066
  6. Step 6: Final answer
    x = 1,214,760,696.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.