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Finding the Third Proportional to 349,822,870 and 765,544,700

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Solution

The third proportional to 349,822,870 and 765,544,700 is: 1,675,301,239.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,822,870 : 765,544,700 = 765,544,700 : x
  2. Step 2: Convert to fraction form
    349,822,870/765,544,700 = 765,544,700/x
  3. Step 3: Cross multiply
    349,822,870x = 765,544,700 × 765,544,700
  4. Step 4: Simplify right side
    349,822,870x = 586,058,687,698,089,984
  5. Step 5: Solve for x
    x = 586,058,687,698,089,984/349,822,870
  6. Step 6: Final answer
    x = 1,675,301,239.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.