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Finding the Third Proportional to 732,280,033 and 1,604,460,267.50

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Solution

The third proportional to 732,280,033 and 1,604,460,267.50 is: 3,515,448,508.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,280,033 : 1,604,460,267.50 = 1,604,460,267.50 : x
  2. Step 2: Convert to fraction form
    732,280,033/1,604,460,267.50 = 1,604,460,267.50/x
  3. Step 3: Cross multiply
    732,280,033x = 1,604,460,267.50 × 1,604,460,267.50
  4. Step 4: Simplify right side
    732,280,033x = 2,574,292,749,986,171,392
  5. Step 5: Solve for x
    x = 2,574,292,749,986,171,392/732,280,033
  6. Step 6: Final answer
    x = 3,515,448,508.73

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.