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Finding the Third Proportional to 575,769,938 and 1,253,768,356

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Solution

The third proportional to 575,769,938 and 1,253,768,356 is: 2,730,144,432.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,769,938 : 1,253,768,356 = 1,253,768,356 : x
  2. Step 2: Convert to fraction form
    575,769,938/1,253,768,356 = 1,253,768,356/x
  3. Step 3: Cross multiply
    575,769,938x = 1,253,768,356 × 1,253,768,356
  4. Step 4: Simplify right side
    575,769,938x = 1,571,935,090,506,942,720
  5. Step 5: Solve for x
    x = 1,571,935,090,506,942,720/575,769,938
  6. Step 6: Final answer
    x = 2,730,144,432.28

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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.