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Finding the Third Proportional to 52,038,662,989.50 and 70,212,375,078.75

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Solution

The third proportional to 52,038,662,989.50 and 70,212,375,078.75 is: 94,732,979,884.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,038,662,989.50 : 70,212,375,078.75 = 70,212,375,078.75 : x
  2. Step 2: Convert to fraction form
    52,038,662,989.50/70,212,375,078.75 = 70,212,375,078.75/x
  3. Step 3: Cross multiply
    52,038,662,989.50x = 70,212,375,078.75 × 70,212,375,078.75
  4. Step 4: Simplify right side
    52,038,662,989.50x = 4,929,777,614,199,074,062,336
  5. Step 5: Solve for x
    x = 4,929,777,614,199,074,062,336/52,038,662,989.50
  6. Step 6: Final answer
    x = 94,732,979,884.47

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.