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Finding the Third Proportional to 1,897,791,639,210 and 2,891,089,478,307

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Solution

The third proportional to 1,897,791,639,210 and 2,891,089,478,307 is: 4,404,276,106,441.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897,791,639,210 : 2,891,089,478,307 = 2,891,089,478,307 : x
  2. Step 2: Convert to fraction form
    1,897,791,639,210/2,891,089,478,307 = 2,891,089,478,307/x
  3. Step 3: Cross multiply
    1,897,791,639,210x = 2,891,089,478,307 × 2,891,089,478,307
  4. Step 4: Simplify right side
    1,897,791,639,210x = 8,358,398,371,577,441,627,930,624
  5. Step 5: Solve for x
    x = 8,358,398,371,577,441,627,930,624/1,897,791,639,210
  6. Step 6: Final answer
    x = 4,404,276,106,441.71

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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.