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Finding the Third Proportional to 1,208,117,040 and 1,863,887,346

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Solution

The third proportional to 1,208,117,040 and 1,863,887,346 is: 2,875,612,149.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208,117,040 : 1,863,887,346 = 1,863,887,346 : x
  2. Step 2: Convert to fraction form
    1,208,117,040/1,863,887,346 = 1,863,887,346/x
  3. Step 3: Cross multiply
    1,208,117,040x = 1,863,887,346 × 1,863,887,346
  4. Step 4: Simplify right side
    1,208,117,040x = 3,474,076,038,578,923,520
  5. Step 5: Solve for x
    x = 3,474,076,038,578,923,520/1,208,117,040
  6. Step 6: Final answer
    x = 2,875,612,149.78

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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.