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Finding the Third Proportional to 1,673,098,931 and 2,531,166,684

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Solution

The third proportional to 1,673,098,931 and 2,531,166,684 is: 3,829,304,211.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673,098,931 : 2,531,166,684 = 2,531,166,684 : x
  2. Step 2: Convert to fraction form
    1,673,098,931/2,531,166,684 = 2,531,166,684/x
  3. Step 3: Cross multiply
    1,673,098,931x = 2,531,166,684 × 2,531,166,684
  4. Step 4: Simplify right side
    1,673,098,931x = 6,406,804,782,191,555,584
  5. Step 5: Solve for x
    x = 6,406,804,782,191,555,584/1,673,098,931
  6. Step 6: Final answer
    x = 3,829,304,211.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.