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Finding the Third Proportional to 24,459,114 and 53,312,943

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Solution

The third proportional to 24,459,114 and 53,312,943 is: 116,204,940.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,459,114 : 53,312,943 = 53,312,943 : x
  2. Step 2: Convert to fraction form
    24,459,114/53,312,943 = 53,312,943/x
  3. Step 3: Cross multiply
    24,459,114x = 53,312,943 × 53,312,943
  4. Step 4: Simplify right side
    24,459,114x = 2,842,269,891,321,249
  5. Step 5: Solve for x
    x = 2,842,269,891,321,249/24,459,114
  6. Step 6: Final answer
    x = 116,204,940.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.