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Finding the Third Proportional to 345,897,621 and 755,620,650

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Solution

The third proportional to 345,897,621 and 755,620,650 is: 1,650,669,250.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,897,621 : 755,620,650 = 755,620,650 : x
  2. Step 2: Convert to fraction form
    345,897,621/755,620,650 = 755,620,650/x
  3. Step 3: Cross multiply
    345,897,621x = 755,620,650 × 755,620,650
  4. Step 4: Simplify right side
    345,897,621x = 570,962,566,706,422,528
  5. Step 5: Solve for x
    x = 570,962,566,706,422,528/345,897,621
  6. Step 6: Final answer
    x = 1,650,669,250.21

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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.