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Finding the Third Proportional to 10,920,455 and 23,761,582

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Solution

The third proportional to 10,920,455 and 23,761,582 is: 51,702,312.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920,455 : 23,761,582 = 23,761,582 : x
  2. Step 2: Convert to fraction form
    10,920,455/23,761,582 = 23,761,582/x
  3. Step 3: Cross multiply
    10,920,455x = 23,761,582 × 23,761,582
  4. Step 4: Simplify right side
    10,920,455x = 564,612,779,142,724
  5. Step 5: Solve for x
    x = 564,612,779,142,724/10,920,455
  6. Step 6: Final answer
    x = 51,702,312.69

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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.