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Finding the Third Proportional to 1,870,596,528 and 2,615,204,041

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Solution

The third proportional to 1,870,596,528 and 2,615,204,041 is: 3,656,209,168.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870,596,528 : 2,615,204,041 = 2,615,204,041 : x
  2. Step 2: Convert to fraction form
    1,870,596,528/2,615,204,041 = 2,615,204,041/x
  3. Step 3: Cross multiply
    1,870,596,528x = 2,615,204,041 × 2,615,204,041
  4. Step 4: Simplify right side
    1,870,596,528x = 6,839,292,176,062,729,216
  5. Step 5: Solve for x
    x = 6,839,292,176,062,729,216/1,870,596,528
  6. Step 6: Final answer
    x = 3,656,209,168.41

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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.