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Finding the Third Proportional to 1,308,210,648 and 2,010,810,360

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Solution

The third proportional to 1,308,210,648 and 2,010,810,360 is: 3,090,754,772.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308,210,648 : 2,010,810,360 = 2,010,810,360 : x
  2. Step 2: Convert to fraction form
    1,308,210,648/2,010,810,360 = 2,010,810,360/x
  3. Step 3: Cross multiply
    1,308,210,648x = 2,010,810,360 × 2,010,810,360
  4. Step 4: Simplify right side
    1,308,210,648x = 4,043,358,303,883,329,536
  5. Step 5: Solve for x
    x = 4,043,358,303,883,329,536/1,308,210,648
  6. Step 6: Final answer
    x = 3,090,754,772.61

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.