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Finding the Third Proportional to 346,487,642 and 770,444,170

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Solution

The third proportional to 346,487,642 and 770,444,170 is: 1,713,146,869.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,487,642 : 770,444,170 = 770,444,170 : x
  2. Step 2: Convert to fraction form
    346,487,642/770,444,170 = 770,444,170/x
  3. Step 3: Cross multiply
    346,487,642x = 770,444,170 × 770,444,170
  4. Step 4: Simplify right side
    346,487,642x = 593,584,219,086,988,928
  5. Step 5: Solve for x
    x = 593,584,219,086,988,928/346,487,642
  6. Step 6: Final answer
    x = 1,713,146,869.14

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.