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Finding the Third Proportional to 1,870,596,533 and 2,615,204,046

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Solution

The third proportional to 1,870,596,533 and 2,615,204,046 is: 3,656,209,172.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870,596,533 : 2,615,204,046 = 2,615,204,046 : x
  2. Step 2: Convert to fraction form
    1,870,596,533/2,615,204,046 = 2,615,204,046/x
  3. Step 3: Cross multiply
    1,870,596,533x = 2,615,204,046 × 2,615,204,046
  4. Step 4: Simplify right side
    1,870,596,533x = 6,839,292,202,214,769,664
  5. Step 5: Solve for x
    x = 6,839,292,202,214,769,664/1,870,596,533
  6. Step 6: Final answer
    x = 3,656,209,172.61

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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.