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Finding the Third Proportional to 346,405,178 and 753,791,638

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Solution

The third proportional to 346,405,178 and 753,791,638 is: 1,640,281,005.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,405,178 : 753,791,638 = 753,791,638 : x
  2. Step 2: Convert to fraction form
    346,405,178/753,791,638 = 753,791,638/x
  3. Step 3: Cross multiply
    346,405,178x = 753,791,638 × 753,791,638
  4. Step 4: Simplify right side
    346,405,178x = 568,201,833,518,723,072
  5. Step 5: Solve for x
    x = 568,201,833,518,723,072/346,405,178
  6. Step 6: Final answer
    x = 1,640,281,005.03

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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.