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Finding the Third Proportional to 616,638,190.50 and 907,924,929.75

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Solution

The third proportional to 616,638,190.50 and 907,924,929.75 is: 1,336,809,316.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,638,190.50 : 907,924,929.75 = 907,924,929.75 : x
  2. Step 2: Convert to fraction form
    616,638,190.50/907,924,929.75 = 907,924,929.75/x
  3. Step 3: Cross multiply
    616,638,190.50x = 907,924,929.75 × 907,924,929.75
  4. Step 4: Simplify right side
    616,638,190.50x = 824,327,678,061,542,400
  5. Step 5: Solve for x
    x = 824,327,678,061,542,400/616,638,190.50
  6. Step 6: Final answer
    x = 1,336,809,316.65

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Why These Related Problems?

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