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Finding the Third Proportional to 2,713,966,853.63 and 5,908,509,420.75

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Solution

The third proportional to 2,713,966,853.63 and 5,908,509,420.75 is: 12,863,268,218.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713,966,853.63 : 5,908,509,420.75 = 5,908,509,420.75 : x
  2. Step 2: Convert to fraction form
    2,713,966,853.63/5,908,509,420.75 = 5,908,509,420.75/x
  3. Step 3: Cross multiply
    2,713,966,853.63x = 5,908,509,420.75 × 5,908,509,420.75
  4. Step 4: Simplify right side
    2,713,966,853.63x = 34,910,483,575,091,499,008
  5. Step 5: Solve for x
    x = 34,910,483,575,091,499,008/2,713,966,853.63
  6. Step 6: Final answer
    x = 12,863,268,218.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.