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Finding the Third Proportional to 346,405,262.25 and 753,791,806.50

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Solution

The third proportional to 346,405,262.25 and 753,791,806.50 is: 1,640,281,339.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,405,262.25 : 753,791,806.50 = 753,791,806.50 : x
  2. Step 2: Convert to fraction form
    346,405,262.25/753,791,806.50 = 753,791,806.50/x
  3. Step 3: Cross multiply
    346,405,262.25x = 753,791,806.50 × 753,791,806.50
  4. Step 4: Simplify right side
    346,405,262.25x = 568,202,087,546,533,440
  5. Step 5: Solve for x
    x = 568,202,087,546,533,440/346,405,262.25
  6. Step 6: Final answer
    x = 1,640,281,339.42

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