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Finding the Third Proportional to 38,526,316 and 56,407,289

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Solution

The third proportional to 38,526,316 and 56,407,289 is: 82,587,243.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,526,316 : 56,407,289 = 56,407,289 : x
  2. Step 2: Convert to fraction form
    38,526,316/56,407,289 = 56,407,289/x
  3. Step 3: Cross multiply
    38,526,316x = 56,407,289 × 56,407,289
  4. Step 4: Simplify right side
    38,526,316x = 3,181,782,252,329,521
  5. Step 5: Solve for x
    x = 3,181,782,252,329,521/38,526,316
  6. Step 6: Final answer
    x = 82,587,243.80

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.