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Finding the Third Proportional to 57,897,959,548 and 126,048,200,984

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Solution

The third proportional to 57,897,959,548 and 126,048,200,984 is: 274,416,388,683.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,897,959,548 : 126,048,200,984 = 126,048,200,984 : x
  2. Step 2: Convert to fraction form
    57,897,959,548/126,048,200,984 = 126,048,200,984/x
  3. Step 3: Cross multiply
    57,897,959,548x = 126,048,200,984 × 126,048,200,984
  4. Step 4: Simplify right side
    57,897,959,548x = 15,888,148,971,302,858,784,768
  5. Step 5: Solve for x
    x = 15,888,148,971,302,858,784,768/57,897,959,548
  6. Step 6: Final answer
    x = 274,416,388,683.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.