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Finding the Third Proportional to 1,931,142,954 and 4,171,008,781.50

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Solution

The third proportional to 1,931,142,954 and 4,171,008,781.50 is: 9,008,817,404.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931,142,954 : 4,171,008,781.50 = 4,171,008,781.50 : x
  2. Step 2: Convert to fraction form
    1,931,142,954/4,171,008,781.50 = 4,171,008,781.50/x
  3. Step 3: Cross multiply
    1,931,142,954x = 4,171,008,781.50 × 4,171,008,781.50
  4. Step 4: Simplify right side
    1,931,142,954x = 17,397,314,255,350,114,304
  5. Step 5: Solve for x
    x = 17,397,314,255,350,114,304/1,931,142,954
  6. Step 6: Final answer
    x = 9,008,817,404.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.