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Finding the Third Proportional to 21,457,996.50 and 45,984,111

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Solution

The third proportional to 21,457,996.50 and 45,984,111 is: 98,543,145.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,457,996.50 : 45,984,111 = 45,984,111 : x
  2. Step 2: Convert to fraction form
    21,457,996.50/45,984,111 = 45,984,111/x
  3. Step 3: Cross multiply
    21,457,996.50x = 45,984,111 × 45,984,111
  4. Step 4: Simplify right side
    21,457,996.50x = 2,114,538,464,460,321
  5. Step 5: Solve for x
    x = 2,114,538,464,460,321/21,457,996.50
  6. Step 6: Final answer
    x = 98,543,145.18

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Why These Related Problems?

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