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Finding the Third Proportional to 252,523,386 and 542,641,326

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Solution

The third proportional to 252,523,386 and 542,641,326 is: 1,166,068,669.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,523,386 : 542,641,326 = 542,641,326 : x
  2. Step 2: Convert to fraction form
    252,523,386/542,641,326 = 542,641,326/x
  3. Step 3: Cross multiply
    252,523,386x = 542,641,326 × 542,641,326
  4. Step 4: Simplify right side
    252,523,386x = 294,459,608,683,038,272
  5. Step 5: Solve for x
    x = 294,459,608,683,038,272/252,523,386
  6. Step 6: Final answer
    x = 1,166,068,669.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.