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Finding the Third Proportional to 1,337,637,306 and 2,797,240,316

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Solution

The third proportional to 1,337,637,306 and 2,797,240,316 is: 5,849,532,866.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337,637,306 : 2,797,240,316 = 2,797,240,316 : x
  2. Step 2: Convert to fraction form
    1,337,637,306/2,797,240,316 = 2,797,240,316/x
  3. Step 3: Cross multiply
    1,337,637,306x = 2,797,240,316 × 2,797,240,316
  4. Step 4: Simplify right side
    1,337,637,306x = 7,824,553,385,455,779,840
  5. Step 5: Solve for x
    x = 7,824,553,385,455,779,840/1,337,637,306
  6. Step 6: Final answer
    x = 5,849,532,866.91

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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.