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Finding the Third Proportional to 10,255,926 and 21,884,808

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Solution

The third proportional to 10,255,926 and 21,884,808 is: 46,699,324.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,255,926 : 21,884,808 = 21,884,808 : x
  2. Step 2: Convert to fraction form
    10,255,926/21,884,808 = 21,884,808/x
  3. Step 3: Cross multiply
    10,255,926x = 21,884,808 × 21,884,808
  4. Step 4: Simplify right side
    10,255,926x = 478,944,821,196,864
  5. Step 5: Solve for x
    x = 478,944,821,196,864/10,255,926
  6. Step 6: Final answer
    x = 46,699,324.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.