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Finding the Third Proportional to 82,006,411 and 180,728,335

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Solution

The third proportional to 82,006,411 and 180,728,335 is: 398,294,848.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,006,411 : 180,728,335 = 180,728,335 : x
  2. Step 2: Convert to fraction form
    82,006,411/180,728,335 = 180,728,335/x
  3. Step 3: Cross multiply
    82,006,411x = 180,728,335 × 180,728,335
  4. Step 4: Simplify right side
    82,006,411x = 32,662,731,071,872,224
  5. Step 5: Solve for x
    x = 32,662,731,071,872,224/82,006,411
  6. Step 6: Final answer
    x = 398,294,848.82

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.