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Finding the Third Proportional to 374,872,422,562 and 571,079,403,125

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Solution

The third proportional to 374,872,422,562 and 571,079,403,125 is: 869,980,465,473.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,872,422,562 : 571,079,403,125 = 571,079,403,125 : x
  2. Step 2: Convert to fraction form
    374,872,422,562/571,079,403,125 = 571,079,403,125/x
  3. Step 3: Cross multiply
    374,872,422,562x = 571,079,403,125 × 571,079,403,125
  4. Step 4: Simplify right side
    374,872,422,562x = 326,131,684,673,606,257,737,728
  5. Step 5: Solve for x
    x = 326,131,684,673,606,257,737,728/374,872,422,562
  6. Step 6: Final answer
    x = 869,980,465,473.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.