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Finding the Third Proportional to 10,920,459 and 23,761,590

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Solution

The third proportional to 10,920,459 and 23,761,590 is: 51,702,328.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920,459 : 23,761,590 = 23,761,590 : x
  2. Step 2: Convert to fraction form
    10,920,459/23,761,590 = 23,761,590/x
  3. Step 3: Cross multiply
    10,920,459x = 23,761,590 × 23,761,590
  4. Step 4: Simplify right side
    10,920,459x = 564,613,159,328,100
  5. Step 5: Solve for x
    x = 564,613,159,328,100/10,920,459
  6. Step 6: Final answer
    x = 51,702,328.57

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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.