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Finding the Third Proportional to 662,009,414 and 1,404,714,823

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Solution

The third proportional to 662,009,414 and 1,404,714,823 is: 2,980,658,117.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,009,414 : 1,404,714,823 = 1,404,714,823 : x
  2. Step 2: Convert to fraction form
    662,009,414/1,404,714,823 = 1,404,714,823/x
  3. Step 3: Cross multiply
    662,009,414x = 1,404,714,823 × 1,404,714,823
  4. Step 4: Simplify right side
    662,009,414x = 1,973,223,733,955,921,408
  5. Step 5: Solve for x
    x = 1,973,223,733,955,921,408/662,009,414
  6. Step 6: Final answer
    x = 2,980,658,117.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.