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Finding the Third Proportional to 9,256,109,512 and 14,100,726,488

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Solution

The third proportional to 9,256,109,512 and 14,100,726,488 is: 21,480,999,898.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256,109,512 : 14,100,726,488 = 14,100,726,488 : x
  2. Step 2: Convert to fraction form
    9,256,109,512/14,100,726,488 = 14,100,726,488/x
  3. Step 3: Cross multiply
    9,256,109,512x = 14,100,726,488 × 14,100,726,488
  4. Step 4: Simplify right side
    9,256,109,512x = 198,830,487,489,384,808,448
  5. Step 5: Solve for x
    x = 198,830,487,489,384,808,448/9,256,109,512
  6. Step 6: Final answer
    x = 21,480,999,898.67

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.