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Finding the Third Proportional to 616,638,177 and 907,924,909.50

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Solution

The third proportional to 616,638,177 and 907,924,909.50 is: 1,336,809,286.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,638,177 : 907,924,909.50 = 907,924,909.50 : x
  2. Step 2: Convert to fraction form
    616,638,177/907,924,909.50 = 907,924,909.50/x
  3. Step 3: Cross multiply
    616,638,177x = 907,924,909.50 × 907,924,909.50
  4. Step 4: Simplify right side
    616,638,177x = 824,327,641,290,583,168
  5. Step 5: Solve for x
    x = 824,327,641,290,583,168/616,638,177
  6. Step 6: Final answer
    x = 1,336,809,286.28

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.