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Finding the Third Proportional to 2,196,518,169 and 3,346,168,483.13

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Solution

The third proportional to 2,196,518,169 and 3,346,168,483.13 is: 5,097,541,953.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196,518,169 : 3,346,168,483.13 = 3,346,168,483.13 : x
  2. Step 2: Convert to fraction form
    2,196,518,169/3,346,168,483.13 = 3,346,168,483.13/x
  3. Step 3: Cross multiply
    2,196,518,169x = 3,346,168,483.13 × 3,346,168,483.13
  4. Step 4: Simplify right side
    2,196,518,169x = 11,196,843,517,459,062,784
  5. Step 5: Solve for x
    x = 11,196,843,517,459,062,784/2,196,518,169
  6. Step 6: Final answer
    x = 5,097,541,953.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.