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Finding the Third Proportional to 324,570,307 and 765,426,896

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Solution

The third proportional to 324,570,307 and 765,426,896 is: 1,805,089,130.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,570,307 : 765,426,896 = 765,426,896 : x
  2. Step 2: Convert to fraction form
    324,570,307/765,426,896 = 765,426,896/x
  3. Step 3: Cross multiply
    324,570,307x = 765,426,896 × 765,426,896
  4. Step 4: Simplify right side
    324,570,307x = 585,878,333,120,194,816
  5. Step 5: Solve for x
    x = 585,878,333,120,194,816/324,570,307
  6. Step 6: Final answer
    x = 1,805,089,130.10

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.