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Finding the Third Proportional to 2,596,120,576 and 5,585,891,378

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Solution

The third proportional to 2,596,120,576 and 5,585,891,378 is: 12,018,772,461.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596,120,576 : 5,585,891,378 = 5,585,891,378 : x
  2. Step 2: Convert to fraction form
    2,596,120,576/5,585,891,378 = 5,585,891,378/x
  3. Step 3: Cross multiply
    2,596,120,576x = 5,585,891,378 × 5,585,891,378
  4. Step 4: Simplify right side
    2,596,120,576x = 31,202,182,486,814,740,480
  5. Step 5: Solve for x
    x = 31,202,182,486,814,740,480/2,596,120,576
  6. Step 6: Final answer
    x = 12,018,772,461.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.