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Finding the Third Proportional to 21,670,125 and 45,133,873.50

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Solution

The third proportional to 21,670,125 and 45,133,873.50 is: 94,003,451.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,670,125 : 45,133,873.50 = 45,133,873.50 : x
  2. Step 2: Convert to fraction form
    21,670,125/45,133,873.50 = 45,133,873.50/x
  3. Step 3: Cross multiply
    21,670,125x = 45,133,873.50 × 45,133,873.50
  4. Step 4: Simplify right side
    21,670,125x = 2,037,066,537,114,002.25
  5. Step 5: Solve for x
    x = 2,037,066,537,114,002.25/21,670,125
  6. Step 6: Final answer
    x = 94,003,451.16

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Why These Related Problems?

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