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Finding the Third Proportional to 374,927,376,242 and 821,483,655,448

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Solution

The third proportional to 374,927,376,242 and 821,483,655,448 is: 1,799,909,632,986.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,927,376,242 : 821,483,655,448 = 821,483,655,448 : x
  2. Step 2: Convert to fraction form
    374,927,376,242/821,483,655,448 = 821,483,655,448/x
  3. Step 3: Cross multiply
    374,927,376,242x = 821,483,655,448 × 821,483,655,448
  4. Step 4: Simplify right side
    374,927,376,242x = 674,835,396,168,208,376,397,824
  5. Step 5: Solve for x
    x = 674,835,396,168,208,376,397,824/374,927,376,242
  6. Step 6: Final answer
    x = 1,799,909,632,986.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.