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Finding the Third Proportional to 30,282,721,888 and 65,897,855,932

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Solution

The third proportional to 30,282,721,888 and 65,897,855,932 is: 143,399,507,894.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,282,721,888 : 65,897,855,932 = 65,897,855,932 : x
  2. Step 2: Convert to fraction form
    30,282,721,888/65,897,855,932 = 65,897,855,932/x
  3. Step 3: Cross multiply
    30,282,721,888x = 65,897,855,932 × 65,897,855,932
  4. Step 4: Simplify right side
    30,282,721,888x = 4,342,527,416,434,627,706,880
  5. Step 5: Solve for x
    x = 4,342,527,416,434,627,706,880/30,282,721,888
  6. Step 6: Final answer
    x = 143,399,507,894.15

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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.