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Finding the Third Proportional to 612,526,752 and 941,497,524

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Solution

The third proportional to 612,526,752 and 941,497,524 is: 1,447,149,181.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,526,752 : 941,497,524 = 941,497,524 : x
  2. Step 2: Convert to fraction form
    612,526,752/941,497,524 = 941,497,524/x
  3. Step 3: Cross multiply
    612,526,752x = 941,497,524 × 941,497,524
  4. Step 4: Simplify right side
    612,526,752x = 886,417,587,698,130,560
  5. Step 5: Solve for x
    x = 886,417,587,698,130,560/612,526,752
  6. Step 6: Final answer
    x = 1,447,149,181.33

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Why These Related Problems?

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