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Finding the Third Proportional to 322,348,909,506 and 689,980,179,621

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Solution

The third proportional to 322,348,909,506 and 689,980,179,621 is: 1,476,886,175,912.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,348,909,506 : 689,980,179,621 = 689,980,179,621 : x
  2. Step 2: Convert to fraction form
    322,348,909,506/689,980,179,621 = 689,980,179,621/x
  3. Step 3: Cross multiply
    322,348,909,506x = 689,980,179,621 × 689,980,179,621
  4. Step 4: Simplify right side
    322,348,909,506x = 476,072,648,269,827,426,746,368
  5. Step 5: Solve for x
    x = 476,072,648,269,827,426,746,368/322,348,909,506
  6. Step 6: Final answer
    x = 1,476,886,175,912.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.