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Finding the Third Proportional to 82,797,447,712.50 and 180,101,865,055.50

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Solution

The third proportional to 82,797,447,712.50 and 180,101,865,055.50 is: 391,759,440,569.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,797,447,712.50 : 180,101,865,055.50 = 180,101,865,055.50 : x
  2. Step 2: Convert to fraction form
    82,797,447,712.50/180,101,865,055.50 = 180,101,865,055.50/x
  3. Step 3: Cross multiply
    82,797,447,712.50x = 180,101,865,055.50 × 180,101,865,055.50
  4. Step 4: Simplify right side
    82,797,447,712.50x = 32,436,681,796,469,533,966,336
  5. Step 5: Solve for x
    x = 32,436,681,796,469,533,966,336/82,797,447,712.50
  6. Step 6: Final answer
    x = 391,759,440,569.96

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1.5x scale

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.