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Finding the Third Proportional to 115,795,913,478 and 252,096,390,732

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Solution

The third proportional to 115,795,913,478 and 252,096,390,732 is: 548,832,755,071.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,795,913,478 : 252,096,390,732 = 252,096,390,732 : x
  2. Step 2: Convert to fraction form
    115,795,913,478/252,096,390,732 = 252,096,390,732/x
  3. Step 3: Cross multiply
    115,795,913,478x = 252,096,390,732 × 252,096,390,732
  4. Step 4: Simplify right side
    115,795,913,478x = 63,552,590,220,101,211,389,952
  5. Step 5: Solve for x
    x = 63,552,590,220,101,211,389,952/115,795,913,478
  6. Step 6: Final answer
    x = 548,832,755,071.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.