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Finding the Third Proportional to 795,765,172 and 1,712,462,732

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Solution

The third proportional to 795,765,172 and 1,712,462,732 is: 3,685,168,328.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    795,765,172 : 1,712,462,732 = 1,712,462,732 : x
  2. Step 2: Convert to fraction form
    795,765,172/1,712,462,732 = 1,712,462,732/x
  3. Step 3: Cross multiply
    795,765,172x = 1,712,462,732 × 1,712,462,732
  4. Step 4: Simplify right side
    795,765,172x = 2,932,528,608,488,903,680
  5. Step 5: Solve for x
    x = 2,932,528,608,488,903,680/795,765,172
  6. Step 6: Final answer
    x = 3,685,168,328.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.