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Finding the Third Proportional to 296,087,697 and 641,548,585.13

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Solution

The third proportional to 296,087,697 and 641,548,585.13 is: 1,390,076,626.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,087,697 : 641,548,585.13 = 641,548,585.13 : x
  2. Step 2: Convert to fraction form
    296,087,697/641,548,585.13 = 641,548,585.13/x
  3. Step 3: Cross multiply
    296,087,697x = 641,548,585.13 × 641,548,585.13
  4. Step 4: Simplify right side
    296,087,697x = 411,584,587,075,889,344
  5. Step 5: Solve for x
    x = 411,584,587,075,889,344/296,087,697
  6. Step 6: Final answer
    x = 1,390,076,626.78

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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.