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Finding the Third Proportional to 474,447,909,816 and 722,772,369,596.25

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Solution

The third proportional to 474,447,909,816 and 722,772,369,596.25 is: 1,101,069,026,638.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,447,909,816 : 722,772,369,596.25 = 722,772,369,596.25 : x
  2. Step 2: Convert to fraction form
    474,447,909,816/722,772,369,596.25 = 722,772,369,596.25/x
  3. Step 3: Cross multiply
    474,447,909,816x = 722,772,369,596.25 × 722,772,369,596.25
  4. Step 4: Simplify right side
    474,447,909,816x = 522,399,898,251,778,240,544,768
  5. Step 5: Solve for x
    x = 522,399,898,251,778,240,544,768/474,447,909,816
  6. Step 6: Final answer
    x = 1,101,069,026,638.51

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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.