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Finding the Third Proportional to 3,233,459,899,521 and 6,957,333,700,578

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Solution

The third proportional to 3,233,459,899,521 and 6,957,333,700,578 is: 14,969,875,528,182.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233,459,899,521 : 6,957,333,700,578 = 6,957,333,700,578 : x
  2. Step 2: Convert to fraction form
    3,233,459,899,521/6,957,333,700,578 = 6,957,333,700,578/x
  3. Step 3: Cross multiply
    3,233,459,899,521x = 6,957,333,700,578 × 6,957,333,700,578
  4. Step 4: Simplify right side
    3,233,459,899,521x = 48,404,492,221,198,369,640,415,232
  5. Step 5: Solve for x
    x = 48,404,492,221,198,369,640,415,232/3,233,459,899,521
  6. Step 6: Final answer
    x = 14,969,875,528,182.35

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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.