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Finding the Third Proportional to 326,520,442 and 710,433,956

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Solution

The third proportional to 326,520,442 and 710,433,956 is: 1,545,742,137.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,520,442 : 710,433,956 = 710,433,956 : x
  2. Step 2: Convert to fraction form
    326,520,442/710,433,956 = 710,433,956/x
  3. Step 3: Cross multiply
    326,520,442x = 710,433,956 × 710,433,956
  4. Step 4: Simplify right side
    326,520,442x = 504,716,405,837,809,920
  5. Step 5: Solve for x
    x = 504,716,405,837,809,920/326,520,442
  6. Step 6: Final answer
    x = 1,545,742,137.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.