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Finding the Third Proportional to 364,916,036.25 and 755,701,548.75

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Solution

The third proportional to 364,916,036.25 and 755,701,548.75 is: 1,564,975,978.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,916,036.25 : 755,701,548.75 = 755,701,548.75 : x
  2. Step 2: Convert to fraction form
    364,916,036.25/755,701,548.75 = 755,701,548.75/x
  3. Step 3: Cross multiply
    364,916,036.25x = 755,701,548.75 × 755,701,548.75
  4. Step 4: Simplify right side
    364,916,036.25x = 571,084,830,783,148,608
  5. Step 5: Solve for x
    x = 571,084,830,783,148,608/364,916,036.25
  6. Step 6: Final answer
    x = 1,564,975,978.18

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.