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Finding the Third Proportional to 2,694,898,907.51 and 5,896,963,039.08

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Solution

The third proportional to 2,694,898,907.51 and 5,896,963,039.08 is: 12,903,702,245.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694,898,907.51 : 5,896,963,039.08 = 5,896,963,039.08 : x
  2. Step 2: Convert to fraction form
    2,694,898,907.51/5,896,963,039.08 = 5,896,963,039.08/x
  3. Step 3: Cross multiply
    2,694,898,907.51x = 5,896,963,039.08 × 5,896,963,039.08
  4. Step 4: Simplify right side
    2,694,898,907.51x = 34,774,173,084,252,041,216
  5. Step 5: Solve for x
    x = 34,774,173,084,252,041,216/2,694,898,907.51
  6. Step 6: Final answer
    x = 12,903,702,245.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.