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Finding the Third Proportional to 264,360,609 and 572,640,066

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Solution

The third proportional to 264,360,609 and 572,640,066 is: 1,240,414,169.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,360,609 : 572,640,066 = 572,640,066 : x
  2. Step 2: Convert to fraction form
    264,360,609/572,640,066 = 572,640,066/x
  3. Step 3: Cross multiply
    264,360,609x = 572,640,066 × 572,640,066
  4. Step 4: Simplify right side
    264,360,609x = 327,916,645,188,484,352
  5. Step 5: Solve for x
    x = 327,916,645,188,484,352/264,360,609
  6. Step 6: Final answer
    x = 1,240,414,169.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.