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Finding the Third Proportional to 857,174,040 and 1,860,474,240

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Solution

The third proportional to 857,174,040 and 1,860,474,240 is: 4,038,111,557.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,174,040 : 1,860,474,240 = 1,860,474,240 : x
  2. Step 2: Convert to fraction form
    857,174,040/1,860,474,240 = 1,860,474,240/x
  3. Step 3: Cross multiply
    857,174,040x = 1,860,474,240 × 1,860,474,240
  4. Step 4: Simplify right side
    857,174,040x = 3,461,364,397,703,577,600
  5. Step 5: Solve for x
    x = 3,461,364,397,703,577,600/857,174,040
  6. Step 6: Final answer
    x = 4,038,111,557.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.