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Finding the Third Proportional to 10,256,004 and 21,884,742

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Solution

The third proportional to 10,256,004 and 21,884,742 is: 46,698,688.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256,004 : 21,884,742 = 21,884,742 : x
  2. Step 2: Convert to fraction form
    10,256,004/21,884,742 = 21,884,742/x
  3. Step 3: Cross multiply
    10,256,004x = 21,884,742 × 21,884,742
  4. Step 4: Simplify right side
    10,256,004x = 478,941,932,406,564
  5. Step 5: Solve for x
    x = 478,941,932,406,564/10,256,004
  6. Step 6: Final answer
    x = 46,698,688.14

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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.