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Finding the Third Proportional to 552,506,211.84 and 828,556,379.86

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Solution

The third proportional to 552,506,211.84 and 828,556,379.86 is: 1,242,530,237.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,506,211.84 : 828,556,379.86 = 828,556,379.86 : x
  2. Step 2: Convert to fraction form
    552,506,211.84/828,556,379.86 = 828,556,379.86/x
  3. Step 3: Cross multiply
    552,506,211.84x = 828,556,379.86 × 828,556,379.86
  4. Step 4: Simplify right side
    552,506,211.84x = 686,505,674,605,681,152
  5. Step 5: Solve for x
    x = 686,505,674,605,681,152/552,506,211.84
  6. Step 6: Final answer
    x = 1,242,530,237.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.