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Finding the Third Proportional to 7,583,182,495.03 and 16,486,258,437.56

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Solution

The third proportional to 7,583,182,495.03 and 16,486,258,437.56 is: 35,842,038,279.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,583,182,495.03 : 16,486,258,437.56 = 16,486,258,437.56 : x
  2. Step 2: Convert to fraction form
    7,583,182,495.03/16,486,258,437.56 = 16,486,258,437.56/x
  3. Step 3: Cross multiply
    7,583,182,495.03x = 16,486,258,437.56 × 16,486,258,437.56
  4. Step 4: Simplify right side
    7,583,182,495.03x = 271,796,717,270,084,255,744
  5. Step 5: Solve for x
    x = 271,796,717,270,084,255,744/7,583,182,495.03
  6. Step 6: Final answer
    x = 35,842,038,279.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.