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Finding the Third Proportional to 75,193,893,027 and 113,759,518,702.50

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Solution

The third proportional to 75,193,893,027 and 113,759,518,702.50 is: 172,104,775,726.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,193,893,027 : 113,759,518,702.50 = 113,759,518,702.50 : x
  2. Step 2: Convert to fraction form
    75,193,893,027/113,759,518,702.50 = 113,759,518,702.50/x
  3. Step 3: Cross multiply
    75,193,893,027x = 113,759,518,702.50 × 113,759,518,702.50
  4. Step 4: Simplify right side
    75,193,893,027x = 12,941,228,095,424,446,857,216
  5. Step 5: Solve for x
    x = 12,941,228,095,424,446,857,216/75,193,893,027
  6. Step 6: Final answer
    x = 172,104,775,726.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.