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Finding the Third Proportional to 529,717,050 and 1,237,264,420.50

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Solution

The third proportional to 529,717,050 and 1,237,264,420.50 is: 2,889,888,566.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,717,050 : 1,237,264,420.50 = 1,237,264,420.50 : x
  2. Step 2: Convert to fraction form
    529,717,050/1,237,264,420.50 = 1,237,264,420.50/x
  3. Step 3: Cross multiply
    529,717,050x = 1,237,264,420.50 × 1,237,264,420.50
  4. Step 4: Simplify right side
    529,717,050x = 1,530,823,246,235,200,768
  5. Step 5: Solve for x
    x = 1,530,823,246,235,200,768/529,717,050
  6. Step 6: Final answer
    x = 2,889,888,566.42

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.