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Finding the Third Proportional to 10,533,267 and 22,559,526

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Solution

The third proportional to 10,533,267 and 22,559,526 is: 48,316,653.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,533,267 : 22,559,526 = 22,559,526 : x
  2. Step 2: Convert to fraction form
    10,533,267/22,559,526 = 22,559,526/x
  3. Step 3: Cross multiply
    10,533,267x = 22,559,526 × 22,559,526
  4. Step 4: Simplify right side
    10,533,267x = 508,932,213,344,676
  5. Step 5: Solve for x
    x = 508,932,213,344,676/10,533,267
  6. Step 6: Final answer
    x = 48,316,653.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.