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Finding the Third Proportional to 38,362,388 and 82,196,642

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Solution

The third proportional to 38,362,388 and 82,196,642 is: 176,117,502.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,362,388 : 82,196,642 = 82,196,642 : x
  2. Step 2: Convert to fraction form
    38,362,388/82,196,642 = 82,196,642/x
  3. Step 3: Cross multiply
    38,362,388x = 82,196,642 × 82,196,642
  4. Step 4: Simplify right side
    38,362,388x = 6,756,287,956,076,164
  5. Step 5: Solve for x
    x = 6,756,287,956,076,164/38,362,388
  6. Step 6: Final answer
    x = 176,117,502.28

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.