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Finding the Third Proportional to 7,401,038,121 and 16,158,299,799.38

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Solution

The third proportional to 7,401,038,121 and 16,158,299,799.38 is: 35,277,571,624.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,401,038,121 : 16,158,299,799.38 = 16,158,299,799.38 : x
  2. Step 2: Convert to fraction form
    7,401,038,121/16,158,299,799.38 = 16,158,299,799.38/x
  3. Step 3: Cross multiply
    7,401,038,121x = 16,158,299,799.38 × 16,158,299,799.38
  4. Step 4: Simplify right side
    7,401,038,121x = 261,090,652,406,482,173,952
  5. Step 5: Solve for x
    x = 261,090,652,406,482,173,952/7,401,038,121
  6. Step 6: Final answer
    x = 35,277,571,624.13

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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.