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Finding the Third Proportional to 9,256,109,430 and 14,100,726,363

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Solution

The third proportional to 9,256,109,430 and 14,100,726,363 is: 21,480,999,708.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256,109,430 : 14,100,726,363 = 14,100,726,363 : x
  2. Step 2: Convert to fraction form
    9,256,109,430/14,100,726,363 = 14,100,726,363/x
  3. Step 3: Cross multiply
    9,256,109,430x = 14,100,726,363 × 14,100,726,363
  4. Step 4: Simplify right side
    9,256,109,430x = 198,830,483,964,203,204,608
  5. Step 5: Solve for x
    x = 198,830,483,964,203,204,608/9,256,109,430
  6. Step 6: Final answer
    x = 21,480,999,708.13

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Why These Related Problems?

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