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Finding the Third Proportional to 9,429,570,748 and 15,715,004,128

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Solution

The third proportional to 9,429,570,748 and 15,715,004,128 is: 26,190,095,110.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,429,570,748 : 15,715,004,128 = 15,715,004,128 : x
  2. Step 2: Convert to fraction form
    9,429,570,748/15,715,004,128 = 15,715,004,128/x
  3. Step 3: Cross multiply
    9,429,570,748x = 15,715,004,128 × 15,715,004,128
  4. Step 4: Simplify right side
    9,429,570,748x = 246,961,354,743,057,055,744
  5. Step 5: Solve for x
    x = 246,961,354,743,057,055,744/9,429,570,748
  6. Step 6: Final answer
    x = 26,190,095,110.69

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.