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Finding the Third Proportional to 16,955,686,169,208 and 36,980,173,090,648

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Solution

The third proportional to 16,955,686,169,208 and 36,980,173,090,648 is: 80,653,368,325,356.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,955,686,169,208 : 36,980,173,090,648 = 36,980,173,090,648 : x
  2. Step 2: Convert to fraction form
    16,955,686,169,208/36,980,173,090,648 = 36,980,173,090,648/x
  3. Step 3: Cross multiply
    16,955,686,169,208x = 36,980,173,090,648 × 36,980,173,090,648
  4. Step 4: Simplify right side
    16,955,686,169,208x = 1,367,533,201,814,286,570,572,742,656
  5. Step 5: Solve for x
    x = 1,367,533,201,814,286,570,572,742,656/16,955,686,169,208
  6. Step 6: Final answer
    x = 80,653,368,325,356.55

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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.