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Finding the Third Proportional to 581,160,120 and 1,239,907,372

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Solution

The third proportional to 581,160,120 and 1,239,907,372 is: 2,645,347,191.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,160,120 : 1,239,907,372 = 1,239,907,372 : x
  2. Step 2: Convert to fraction form
    581,160,120/1,239,907,372 = 1,239,907,372/x
  3. Step 3: Cross multiply
    581,160,120x = 1,239,907,372 × 1,239,907,372
  4. Step 4: Simplify right side
    581,160,120x = 1,537,370,291,139,946,496
  5. Step 5: Solve for x
    x = 1,537,370,291,139,946,496/581,160,120
  6. Step 6: Final answer
    x = 2,645,347,191.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.