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Finding the Third Proportional to 82,865,282,024 and 121,151,940,490

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Solution

The third proportional to 82,865,282,024 and 121,151,940,490 is: 177,128,374,223.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,865,282,024 : 121,151,940,490 = 121,151,940,490 : x
  2. Step 2: Convert to fraction form
    82,865,282,024/121,151,940,490 = 121,151,940,490/x
  3. Step 3: Cross multiply
    82,865,282,024x = 121,151,940,490 × 121,151,940,490
  4. Step 4: Simplify right side
    82,865,282,024x = 14,677,792,684,492,502,073,344
  5. Step 5: Solve for x
    x = 14,677,792,684,492,502,073,344/82,865,282,024
  6. Step 6: Final answer
    x = 177,128,374,223.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.