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Finding the Third Proportional to 264,755,756.25 and 577,182,446.25

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Solution

The third proportional to 264,755,756.25 and 577,182,446.25 is: 1,258,290,210.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,755,756.25 : 577,182,446.25 = 577,182,446.25 : x
  2. Step 2: Convert to fraction form
    264,755,756.25/577,182,446.25 = 577,182,446.25/x
  3. Step 3: Cross multiply
    264,755,756.25x = 577,182,446.25 × 577,182,446.25
  4. Step 4: Simplify right side
    264,755,756.25x = 333,139,576,259,134,144
  5. Step 5: Solve for x
    x = 333,139,576,259,134,144/264,755,756.25
  6. Step 6: Final answer
    x = 1,258,290,210.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.