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Finding the Third Proportional to 237,723,642 and 515,019,681

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Solution

The third proportional to 237,723,642 and 515,019,681 is: 1,115,771,530.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,723,642 : 515,019,681 = 515,019,681 : x
  2. Step 2: Convert to fraction form
    237,723,642/515,019,681 = 515,019,681/x
  3. Step 3: Cross multiply
    237,723,642x = 515,019,681 × 515,019,681
  4. Step 4: Simplify right side
    237,723,642x = 265,245,271,817,341,760
  5. Step 5: Solve for x
    x = 265,245,271,817,341,760/237,723,642
  6. Step 6: Final answer
    x = 1,115,771,530.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.