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Finding the Third Proportional to 56,837,619 and 123,233,710.50

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Solution

The third proportional to 56,837,619 and 123,233,710.50 is: 267,191,829.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,837,619 : 123,233,710.50 = 123,233,710.50 : x
  2. Step 2: Convert to fraction form
    56,837,619/123,233,710.50 = 123,233,710.50/x
  3. Step 3: Cross multiply
    56,837,619x = 123,233,710.50 × 123,233,710.50
  4. Step 4: Simplify right side
    56,837,619x = 15,186,547,403,597,810
  5. Step 5: Solve for x
    x = 15,186,547,403,597,810/56,837,619
  6. Step 6: Final answer
    x = 267,191,829.47

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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.