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Finding the Third Proportional to 10,638,730 and 23,402,900

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Solution

The third proportional to 10,638,730 and 23,402,900 is: 51,481,307.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638,730 : 23,402,900 = 23,402,900 : x
  2. Step 2: Convert to fraction form
    10,638,730/23,402,900 = 23,402,900/x
  3. Step 3: Cross multiply
    10,638,730x = 23,402,900 × 23,402,900
  4. Step 4: Simplify right side
    10,638,730x = 547,695,728,410,000
  5. Step 5: Solve for x
    x = 547,695,728,410,000/10,638,730
  6. Step 6: Final answer
    x = 51,481,307.30

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.