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Finding the Third Proportional to 333,077,200 and 721,756,388

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Solution

The third proportional to 333,077,200 and 721,756,388 is: 1,563,998,627.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,077,200 : 721,756,388 = 721,756,388 : x
  2. Step 2: Convert to fraction form
    333,077,200/721,756,388 = 721,756,388/x
  3. Step 3: Cross multiply
    333,077,200x = 721,756,388 × 721,756,388
  4. Step 4: Simplify right side
    333,077,200x = 520,932,283,618,806,528
  5. Step 5: Solve for x
    x = 520,932,283,618,806,528/333,077,200
  6. Step 6: Final answer
    x = 1,563,998,627.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.