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Finding the Third Proportional to 23,961,744 and 52,484,689.13

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Solution

The third proportional to 23,961,744 and 52,484,689.13 is: 114,960,020.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,961,744 : 52,484,689.13 = 52,484,689.13 : x
  2. Step 2: Convert to fraction form
    23,961,744/52,484,689.13 = 52,484,689.13/x
  3. Step 3: Cross multiply
    23,961,744x = 52,484,689.13 × 52,484,689.13
  4. Step 4: Simplify right side
    23,961,744x = 2,754,642,592,547,893.50
  5. Step 5: Solve for x
    x = 2,754,642,592,547,893.50/23,961,744
  6. Step 6: Final answer
    x = 114,960,020.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.