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Finding the Third Proportional to 435,356,845.75 and 947,237,094.75

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Solution

The third proportional to 435,356,845.75 and 947,237,094.75 is: 2,060,971,642.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,356,845.75 : 947,237,094.75 = 947,237,094.75 : x
  2. Step 2: Convert to fraction form
    435,356,845.75/947,237,094.75 = 947,237,094.75/x
  3. Step 3: Cross multiply
    435,356,845.75x = 947,237,094.75 × 947,237,094.75
  4. Step 4: Simplify right side
    435,356,845.75x = 897,258,113,670,420,480
  5. Step 5: Solve for x
    x = 897,258,113,670,420,480/435,356,845.75
  6. Step 6: Final answer
    x = 2,060,971,642.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.