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Finding the Third Proportional to 648,932,308,984.50 and 953,959,281,621.75

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Solution

The third proportional to 648,932,308,984.50 and 953,959,281,621.75 is: 1,402,362,462,760.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,932,308,984.50 : 953,959,281,621.75 = 953,959,281,621.75 : x
  2. Step 2: Convert to fraction form
    648,932,308,984.50/953,959,281,621.75 = 953,959,281,621.75/x
  3. Step 3: Cross multiply
    648,932,308,984.50x = 953,959,281,621.75 × 953,959,281,621.75
  4. Step 4: Simplify right side
    648,932,308,984.50x = 910,038,310,992,285,387,456,512
  5. Step 5: Solve for x
    x = 910,038,310,992,285,387,456,512/648,932,308,984.50
  6. Step 6: Final answer
    x = 1,402,362,462,760.38

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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.