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Finding the Third Proportional to 264,360,612 and 572,640,072

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Solution

The third proportional to 264,360,612 and 572,640,072 is: 1,240,414,181.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,360,612 : 572,640,072 = 572,640,072 : x
  2. Step 2: Convert to fraction form
    264,360,612/572,640,072 = 572,640,072/x
  3. Step 3: Cross multiply
    264,360,612x = 572,640,072 × 572,640,072
  4. Step 4: Simplify right side
    264,360,612x = 327,916,652,060,165,184
  5. Step 5: Solve for x
    x = 327,916,652,060,165,184/264,360,612
  6. Step 6: Final answer
    x = 1,240,414,181.14

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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.