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Finding the Third Proportional to 648,630,364.50 and 968,695,123.50

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Solution

The third proportional to 648,630,364.50 and 968,695,123.50 is: 1,446,694,903.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,630,364.50 : 968,695,123.50 = 968,695,123.50 : x
  2. Step 2: Convert to fraction form
    648,630,364.50/968,695,123.50 = 968,695,123.50/x
  3. Step 3: Cross multiply
    648,630,364.50x = 968,695,123.50 × 968,695,123.50
  4. Step 4: Simplify right side
    648,630,364.50x = 938,370,242,292,680,192
  5. Step 5: Solve for x
    x = 938,370,242,292,680,192/648,630,364.50
  6. Step 6: Final answer
    x = 1,446,694,903.06

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