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Finding the Third Proportional to 614,013,444 and 1,335,608,145

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Solution

The third proportional to 614,013,444 and 1,335,608,145 is: 2,905,228,109.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,013,444 : 1,335,608,145 = 1,335,608,145 : x
  2. Step 2: Convert to fraction form
    614,013,444/1,335,608,145 = 1,335,608,145/x
  3. Step 3: Cross multiply
    614,013,444x = 1,335,608,145 × 1,335,608,145
  4. Step 4: Simplify right side
    614,013,444x = 1,783,849,116,990,341,120
  5. Step 5: Solve for x
    x = 1,783,849,116,990,341,120/614,013,444
  6. Step 6: Final answer
    x = 2,905,228,109.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.