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Finding the Third Proportional to 847,759,534 and 1,145,038,234.50

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Solution

The third proportional to 847,759,534 and 1,145,038,234.50 is: 1,546,561,856.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,759,534 : 1,145,038,234.50 = 1,145,038,234.50 : x
  2. Step 2: Convert to fraction form
    847,759,534/1,145,038,234.50 = 1,145,038,234.50/x
  3. Step 3: Cross multiply
    847,759,534x = 1,145,038,234.50 × 1,145,038,234.50
  4. Step 4: Simplify right side
    847,759,534x = 1,311,112,558,466,876,928
  5. Step 5: Solve for x
    x = 1,311,112,558,466,876,928/847,759,534
  6. Step 6: Final answer
    x = 1,546,561,856.14

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Why These Related Problems?

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