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Finding the Third Proportional to 57,557,783,220 and 128,349,965,928

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Solution

The third proportional to 57,557,783,220 and 128,349,965,928 is: 286,211,748,127.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,557,783,220 : 128,349,965,928 = 128,349,965,928 : x
  2. Step 2: Convert to fraction form
    57,557,783,220/128,349,965,928 = 128,349,965,928/x
  3. Step 3: Cross multiply
    57,557,783,220x = 128,349,965,928 × 128,349,965,928
  4. Step 4: Simplify right side
    57,557,783,220x = 16,473,713,753,718,760,931,328
  5. Step 5: Solve for x
    x = 16,473,713,753,718,760,931,328/57,557,783,220
  6. Step 6: Final answer
    x = 286,211,748,127.13

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.