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Finding the Third Proportional to 1,399,593,274.31 and 3,006,889,970.63

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Solution

The third proportional to 1,399,593,274.31 and 3,006,889,970.63 is: 6,460,010,534.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399,593,274.31 : 3,006,889,970.63 = 3,006,889,970.63 : x
  2. Step 2: Convert to fraction form
    1,399,593,274.31/3,006,889,970.63 = 3,006,889,970.63/x
  3. Step 3: Cross multiply
    1,399,593,274.31x = 3,006,889,970.63 × 3,006,889,970.63
  4. Step 4: Simplify right side
    1,399,593,274.31x = 9,041,387,295,445,213,184
  5. Step 5: Solve for x
    x = 9,041,387,295,445,213,184/1,399,593,274.31
  6. Step 6: Final answer
    x = 6,460,010,534.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.