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Finding the Third Proportional to 6,039,832,358,505 and 13,249,007,366,172

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Solution

The third proportional to 6,039,832,358,505 and 13,249,007,366,172 is: 29,063,090,789,547.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,039,832,358,505 : 13,249,007,366,172 = 13,249,007,366,172 : x
  2. Step 2: Convert to fraction form
    6,039,832,358,505/13,249,007,366,172 = 13,249,007,366,172/x
  3. Step 3: Cross multiply
    6,039,832,358,505x = 13,249,007,366,172 × 13,249,007,366,172
  4. Step 4: Simplify right side
    6,039,832,358,505x = 175,536,196,188,879,917,057,835,008
  5. Step 5: Solve for x
    x = 175,536,196,188,879,917,057,835,008/6,039,832,358,505
  6. Step 6: Final answer
    x = 29,063,090,789,547.88

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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.