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Finding the Third Proportional to 1,870,596,542 and 2,615,204,059

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Solution

The third proportional to 1,870,596,542 and 2,615,204,059 is: 3,656,209,191.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870,596,542 : 2,615,204,059 = 2,615,204,059 : x
  2. Step 2: Convert to fraction form
    1,870,596,542/2,615,204,059 = 2,615,204,059/x
  3. Step 3: Cross multiply
    1,870,596,542x = 2,615,204,059 × 2,615,204,059
  4. Step 4: Simplify right side
    1,870,596,542x = 6,839,292,270,210,075,648
  5. Step 5: Solve for x
    x = 6,839,292,270,210,075,648/1,870,596,542
  6. Step 6: Final answer
    x = 3,656,209,191.37

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.