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Finding the Third Proportional to 648,630,354.94 and 968,695,109.30

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Solution

The third proportional to 648,630,354.94 and 968,695,109.30 is: 1,446,694,881.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,630,354.94 : 968,695,109.30 = 968,695,109.30 : x
  2. Step 2: Convert to fraction form
    648,630,354.94/968,695,109.30 = 968,695,109.30/x
  3. Step 3: Cross multiply
    648,630,354.94x = 968,695,109.30 × 968,695,109.30
  4. Step 4: Simplify right side
    648,630,354.94x = 938,370,214,775,694,336
  5. Step 5: Solve for x
    x = 938,370,214,775,694,336/648,630,354.94
  6. Step 6: Final answer
    x = 1,446,694,881.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.