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Finding the Third Proportional to 1,337,637,304 and 2,797,240,312

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Solution

The third proportional to 1,337,637,304 and 2,797,240,312 is: 5,849,532,858.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337,637,304 : 2,797,240,312 = 2,797,240,312 : x
  2. Step 2: Convert to fraction form
    1,337,637,304/2,797,240,312 = 2,797,240,312/x
  3. Step 3: Cross multiply
    1,337,637,304x = 2,797,240,312 × 2,797,240,312
  4. Step 4: Simplify right side
    1,337,637,304x = 7,824,553,363,077,857,280
  5. Step 5: Solve for x
    x = 7,824,553,363,077,857,280/1,337,637,304
  6. Step 6: Final answer
    x = 5,849,532,858.93

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.