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Finding the Third Proportional to 1,870,596,569 and 2,615,204,103

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Solution

The third proportional to 1,870,596,569 and 2,615,204,103 is: 3,656,209,261.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870,596,569 : 2,615,204,103 = 2,615,204,103 : x
  2. Step 2: Convert to fraction form
    1,870,596,569/2,615,204,103 = 2,615,204,103/x
  3. Step 3: Cross multiply
    1,870,596,569x = 2,615,204,103 × 2,615,204,103
  4. Step 4: Simplify right side
    1,870,596,569x = 6,839,292,500,348,035,072
  5. Step 5: Solve for x
    x = 6,839,292,500,348,035,072/1,870,596,569
  6. Step 6: Final answer
    x = 3,656,209,261.63

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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.