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Finding the Third Proportional to 24,242,842,884 and 52,094,760,664

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Solution

The third proportional to 24,242,842,884 and 52,094,760,664 is: 111,944,960,482.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,242,842,884 : 52,094,760,664 = 52,094,760,664 : x
  2. Step 2: Convert to fraction form
    24,242,842,884/52,094,760,664 = 52,094,760,664/x
  3. Step 3: Cross multiply
    24,242,842,884x = 52,094,760,664 × 52,094,760,664
  4. Step 4: Simplify right side
    24,242,842,884x = 2,713,864,088,639,441,469,440
  5. Step 5: Solve for x
    x = 2,713,864,088,639,441,469,440/24,242,842,884
  6. Step 6: Final answer
    x = 111,944,960,482.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.