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Finding the Third Proportional to 474,447,909,802.50 and 722,772,369,576.75

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Solution

The third proportional to 474,447,909,802.50 and 722,772,369,576.75 is: 1,101,069,026,610.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,447,909,802.50 : 722,772,369,576.75 = 722,772,369,576.75 : x
  2. Step 2: Convert to fraction form
    474,447,909,802.50/722,772,369,576.75 = 722,772,369,576.75/x
  3. Step 3: Cross multiply
    474,447,909,802.50x = 722,772,369,576.75 × 722,772,369,576.75
  4. Step 4: Simplify right side
    474,447,909,802.50x = 522,399,898,223,590,101,745,664
  5. Step 5: Solve for x
    x = 522,399,898,223,590,101,745,664/474,447,909,802.50
  6. Step 6: Final answer
    x = 1,101,069,026,610.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.