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Finding the Third Proportional to 52,165,894,582 and 112,993,997,225

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Solution

The third proportional to 52,165,894,582 and 112,993,997,225 is: 244,750,780,393.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,165,894,582 : 112,993,997,225 = 112,993,997,225 : x
  2. Step 2: Convert to fraction form
    52,165,894,582/112,993,997,225 = 112,993,997,225/x
  3. Step 3: Cross multiply
    52,165,894,582x = 112,993,997,225 × 112,993,997,225
  4. Step 4: Simplify right side
    52,165,894,582x = 12,767,643,408,883,307,773,952
  5. Step 5: Solve for x
    x = 12,767,643,408,883,307,773,952/52,165,894,582
  6. Step 6: Final answer
    x = 244,750,780,393.76

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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.