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Finding the Third Proportional to 264,341,190 and 572,615,566

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Solution

The third proportional to 264,341,190 and 572,615,566 is: 1,240,399,146.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,341,190 : 572,615,566 = 572,615,566 : x
  2. Step 2: Convert to fraction form
    264,341,190/572,615,566 = 572,615,566/x
  3. Step 3: Cross multiply
    264,341,190x = 572,615,566 × 572,615,566
  4. Step 4: Simplify right side
    264,341,190x = 327,888,586,425,500,352
  5. Step 5: Solve for x
    x = 327,888,586,425,500,352/264,341,190
  6. Step 6: Final answer
    x = 1,240,399,146.37

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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.