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Finding the Third Proportional to 528,203,312 and 1,158,443,184

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Solution

The third proportional to 528,203,312 and 1,158,443,184 is: 2,540,670,571.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,203,312 : 1,158,443,184 = 1,158,443,184 : x
  2. Step 2: Convert to fraction form
    528,203,312/1,158,443,184 = 1,158,443,184/x
  3. Step 3: Cross multiply
    528,203,312x = 1,158,443,184 × 1,158,443,184
  4. Step 4: Simplify right side
    528,203,312x = 1,341,990,610,556,057,856
  5. Step 5: Solve for x
    x = 1,341,990,610,556,057,856/528,203,312
  6. Step 6: Final answer
    x = 2,540,670,571.48

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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.