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Finding the Third Proportional to 2,939,034,343 and 6,345,605,182

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Solution

The third proportional to 2,939,034,343 and 6,345,605,182 is: 13,700,658,252.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,939,034,343 : 6,345,605,182 = 6,345,605,182 : x
  2. Step 2: Convert to fraction form
    2,939,034,343/6,345,605,182 = 6,345,605,182/x
  3. Step 3: Cross multiply
    2,939,034,343x = 6,345,605,182 × 6,345,605,182
  4. Step 4: Simplify right side
    2,939,034,343x = 40,266,705,125,825,249,280
  5. Step 5: Solve for x
    x = 40,266,705,125,825,249,280/2,939,034,343
  6. Step 6: Final answer
    x = 13,700,658,252.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.