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Finding the Third Proportional to 1,459,308,400 and 3,210,475,616

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Solution

The third proportional to 1,459,308,400 and 3,210,475,616 is: 7,063,040,054.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459,308,400 : 3,210,475,616 = 3,210,475,616 : x
  2. Step 2: Convert to fraction form
    1,459,308,400/3,210,475,616 = 3,210,475,616/x
  3. Step 3: Cross multiply
    1,459,308,400x = 3,210,475,616 × 3,210,475,616
  4. Step 4: Simplify right side
    1,459,308,400x = 10,307,153,680,930,578,432
  5. Step 5: Solve for x
    x = 10,307,153,680,930,578,432/1,459,308,400
  6. Step 6: Final answer
    x = 7,063,040,054.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.