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Finding the Third Proportional to 470,794,632 and 646,272,495

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Solution

The third proportional to 470,794,632 and 646,272,495 is: 887,155,692.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,794,632 : 646,272,495 = 646,272,495 : x
  2. Step 2: Convert to fraction form
    470,794,632/646,272,495 = 646,272,495/x
  3. Step 3: Cross multiply
    470,794,632x = 646,272,495 × 646,272,495
  4. Step 4: Simplify right side
    470,794,632x = 417,668,137,793,525,056
  5. Step 5: Solve for x
    x = 417,668,137,793,525,056/470,794,632
  6. Step 6: Final answer
    x = 887,155,692.53

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.