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Finding the Third Proportional to 1,576,544,559 and 2,217,304,437

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Solution

The third proportional to 1,576,544,559 and 2,217,304,437 is: 3,118,490,332.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576,544,559 : 2,217,304,437 = 2,217,304,437 : x
  2. Step 2: Convert to fraction form
    1,576,544,559/2,217,304,437 = 2,217,304,437/x
  3. Step 3: Cross multiply
    1,576,544,559x = 2,217,304,437 × 2,217,304,437
  4. Step 4: Simplify right side
    1,576,544,559x = 4,916,438,966,339,887,104
  5. Step 5: Solve for x
    x = 4,916,438,966,339,887,104/1,576,544,559
  6. Step 6: Final answer
    x = 3,118,490,332.72

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.