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Finding the Third Proportional to 615,470,664 and 1,299,618,960

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Solution

The third proportional to 615,470,664 and 1,299,618,960 is: 2,744,256,615.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,470,664 : 1,299,618,960 = 1,299,618,960 : x
  2. Step 2: Convert to fraction form
    615,470,664/1,299,618,960 = 1,299,618,960/x
  3. Step 3: Cross multiply
    615,470,664x = 1,299,618,960 × 1,299,618,960
  4. Step 4: Simplify right side
    615,470,664x = 1,689,009,441,191,481,600
  5. Step 5: Solve for x
    x = 1,689,009,441,191,481,600/615,470,664
  6. Step 6: Final answer
    x = 2,744,256,615.28

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.