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Finding the Third Proportional to 7,023,174,080 and 10,147,273,727

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Solution

The third proportional to 7,023,174,080 and 10,147,273,727 is: 14,661,058,222.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023,174,080 : 10,147,273,727 = 10,147,273,727 : x
  2. Step 2: Convert to fraction form
    7,023,174,080/10,147,273,727 = 10,147,273,727/x
  3. Step 3: Cross multiply
    7,023,174,080x = 10,147,273,727 × 10,147,273,727
  4. Step 4: Simplify right side
    7,023,174,080x = 102,967,164,090,664,468,480
  5. Step 5: Solve for x
    x = 102,967,164,090,664,468,480/7,023,174,080
  6. Step 6: Final answer
    x = 14,661,058,222.08

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.