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Finding the Third Proportional to 1,426,654,740 and 2,009,044,254

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Solution

The third proportional to 1,426,654,740 and 2,009,044,254 is: 2,829,177,026.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426,654,740 : 2,009,044,254 = 2,009,044,254 : x
  2. Step 2: Convert to fraction form
    1,426,654,740/2,009,044,254 = 2,009,044,254/x
  3. Step 3: Cross multiply
    1,426,654,740x = 2,009,044,254 × 2,009,044,254
  4. Step 4: Simplify right side
    1,426,654,740x = 4,036,258,814,530,416,640
  5. Step 5: Solve for x
    x = 4,036,258,814,530,416,640/1,426,654,740
  6. Step 6: Final answer
    x = 2,829,177,026.06

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.