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Finding the Third Proportional to 6,039,832,358,509 and 13,249,007,366,180

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Solution

The third proportional to 6,039,832,358,509 and 13,249,007,366,180 is: 29,063,090,789,563.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,039,832,358,509 : 13,249,007,366,180 = 13,249,007,366,180 : x
  2. Step 2: Convert to fraction form
    6,039,832,358,509/13,249,007,366,180 = 13,249,007,366,180/x
  3. Step 3: Cross multiply
    6,039,832,358,509x = 13,249,007,366,180 × 13,249,007,366,180
  4. Step 4: Simplify right side
    6,039,832,358,509x = 175,536,196,189,091,916,643,565,568
  5. Step 5: Solve for x
    x = 175,536,196,189,091,916,643,565,568/6,039,832,358,509
  6. Step 6: Final answer
    x = 29,063,090,789,563.73

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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.