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Finding the Third Proportional to 851,864,232 and 1,274,391,037.50

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Solution

The third proportional to 851,864,232 and 1,274,391,037.50 is: 1,906,492,203.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,864,232 : 1,274,391,037.50 = 1,274,391,037.50 : x
  2. Step 2: Convert to fraction form
    851,864,232/1,274,391,037.50 = 1,274,391,037.50/x
  3. Step 3: Cross multiply
    851,864,232x = 1,274,391,037.50 × 1,274,391,037.50
  4. Step 4: Simplify right side
    851,864,232x = 1,624,072,516,460,326,400
  5. Step 5: Solve for x
    x = 1,624,072,516,460,326,400/851,864,232
  6. Step 6: Final answer
    x = 1,906,492,203.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.