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Finding the Third Proportional to 615,976,549 and 1,369,675,742

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Solution

The third proportional to 615,976,549 and 1,369,675,742 is: 3,045,589,383.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,976,549 : 1,369,675,742 = 1,369,675,742 : x
  2. Step 2: Convert to fraction form
    615,976,549/1,369,675,742 = 1,369,675,742/x
  3. Step 3: Cross multiply
    615,976,549x = 1,369,675,742 × 1,369,675,742
  4. Step 4: Simplify right side
    615,976,549x = 1,876,011,638,223,250,688
  5. Step 5: Solve for x
    x = 1,876,011,638,223,250,688/615,976,549
  6. Step 6: Final answer
    x = 3,045,589,383.67

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.