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Finding the Third Proportional to 649,243,853 and 1,316,553,678

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Solution

The third proportional to 649,243,853 and 1,316,553,678 is: 2,669,742,006.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,243,853 : 1,316,553,678 = 1,316,553,678 : x
  2. Step 2: Convert to fraction form
    649,243,853/1,316,553,678 = 1,316,553,678/x
  3. Step 3: Cross multiply
    649,243,853x = 1,316,553,678 × 1,316,553,678
  4. Step 4: Simplify right side
    649,243,853x = 1,733,313,587,055,327,744
  5. Step 5: Solve for x
    x = 1,733,313,587,055,327,744/649,243,853
  6. Step 6: Final answer
    x = 2,669,742,006.87

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.