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Finding the Third Proportional to 1,014,889,207.50 and 1,614,905,019

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Solution

The third proportional to 1,014,889,207.50 and 1,614,905,019 is: 2,569,658,048.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014,889,207.50 : 1,614,905,019 = 1,614,905,019 : x
  2. Step 2: Convert to fraction form
    1,014,889,207.50/1,614,905,019 = 1,614,905,019/x
  3. Step 3: Cross multiply
    1,014,889,207.50x = 1,614,905,019 × 1,614,905,019
  4. Step 4: Simplify right side
    1,014,889,207.50x = 2,607,918,220,391,390,208
  5. Step 5: Solve for x
    x = 2,607,918,220,391,390,208/1,014,889,207.50
  6. Step 6: Final answer
    x = 2,569,658,048.50

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.