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Finding the Third Proportional to 21,705,024 and 45,196,279.50

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Solution

The third proportional to 21,705,024 and 45,196,279.50 is: 94,112,021.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,705,024 : 45,196,279.50 = 45,196,279.50 : x
  2. Step 2: Convert to fraction form
    21,705,024/45,196,279.50 = 45,196,279.50/x
  3. Step 3: Cross multiply
    21,705,024x = 45,196,279.50 × 45,196,279.50
  4. Step 4: Simplify right side
    21,705,024x = 2,042,703,680,642,120.25
  5. Step 5: Solve for x
    x = 2,042,703,680,642,120.25/21,705,024
  6. Step 6: Final answer
    x = 94,112,021.28

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.