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Finding the Third Proportional to 648,630,360 and 968,695,116.75

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Solution

The third proportional to 648,630,360 and 968,695,116.75 is: 1,446,694,892.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,630,360 : 968,695,116.75 = 968,695,116.75 : x
  2. Step 2: Convert to fraction form
    648,630,360/968,695,116.75 = 968,695,116.75/x
  3. Step 3: Cross multiply
    648,630,360x = 968,695,116.75 × 968,695,116.75
  4. Step 4: Simplify right side
    648,630,360x = 938,370,229,215,296,128
  5. Step 5: Solve for x
    x = 938,370,229,215,296,128/648,630,360
  6. Step 6: Final answer
    x = 1,446,694,892.94

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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.