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Finding the Third Proportional to 704,239,576,890 and 1,525,418,962,602

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Solution

The third proportional to 704,239,576,890 and 1,525,418,962,602 is: 3,304,135,535,440.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,239,576,890 : 1,525,418,962,602 = 1,525,418,962,602 : x
  2. Step 2: Convert to fraction form
    704,239,576,890/1,525,418,962,602 = 1,525,418,962,602/x
  3. Step 3: Cross multiply
    704,239,576,890x = 1,525,418,962,602 × 1,525,418,962,602
  4. Step 4: Simplify right side
    704,239,576,890x = 2,326,903,011,465,761,956,823,040
  5. Step 5: Solve for x
    x = 2,326,903,011,465,761,956,823,040/704,239,576,890
  6. Step 6: Final answer
    x = 3,304,135,535,440.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.