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Finding the Third Proportional to 624,463,925,292 and 842,548,455,939

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Solution

The third proportional to 624,463,925,292 and 842,548,455,939 is: 1,136,795,692,838.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,463,925,292 : 842,548,455,939 = 842,548,455,939 : x
  2. Step 2: Convert to fraction form
    624,463,925,292/842,548,455,939 = 842,548,455,939/x
  3. Step 3: Cross multiply
    624,463,925,292x = 842,548,455,939 × 842,548,455,939
  4. Step 4: Simplify right side
    624,463,925,292x = 709,887,900,605,192,995,864,576
  5. Step 5: Solve for x
    x = 709,887,900,605,192,995,864,576/624,463,925,292
  6. Step 6: Final answer
    x = 1,136,795,692,838.86

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.