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Finding the Third Proportional to 346,405,176 and 753,791,634

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Solution

The third proportional to 346,405,176 and 753,791,634 is: 1,640,280,997.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,405,176 : 753,791,634 = 753,791,634 : x
  2. Step 2: Convert to fraction form
    346,405,176/753,791,634 = 753,791,634/x
  3. Step 3: Cross multiply
    346,405,176x = 753,791,634 × 753,791,634
  4. Step 4: Simplify right side
    346,405,176x = 568,201,827,488,389,952
  5. Step 5: Solve for x
    x = 568,201,827,488,389,952/346,405,176
  6. Step 6: Final answer
    x = 1,640,280,997.10

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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.