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Finding the Third Proportional to 1,570,879,349 and 2,342,696,541

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Solution

The third proportional to 1,570,879,349 and 2,342,696,541 is: 3,493,729,220.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570,879,349 : 2,342,696,541 = 2,342,696,541 : x
  2. Step 2: Convert to fraction form
    1,570,879,349/2,342,696,541 = 2,342,696,541/x
  3. Step 3: Cross multiply
    1,570,879,349x = 2,342,696,541 × 2,342,696,541
  4. Step 4: Simplify right side
    1,570,879,349x = 5,488,227,083,213,364,224
  5. Step 5: Solve for x
    x = 5,488,227,083,213,364,224/1,570,879,349
  6. Step 6: Final answer
    x = 3,493,729,220.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.