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Finding the Third Proportional to 381,237,610 and 832,389,560

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Solution

The third proportional to 381,237,610 and 832,389,560 is: 1,817,429,239.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,237,610 : 832,389,560 = 832,389,560 : x
  2. Step 2: Convert to fraction form
    381,237,610/832,389,560 = 832,389,560/x
  3. Step 3: Cross multiply
    381,237,610x = 832,389,560 × 832,389,560
  4. Step 4: Simplify right side
    381,237,610x = 692,872,379,596,993,536
  5. Step 5: Solve for x
    x = 692,872,379,596,993,536/381,237,610
  6. Step 6: Final answer
    x = 1,817,429,239.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.