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Finding the Third Proportional to 643,336,931 and 1,404,654,583

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Solution

The third proportional to 643,336,931 and 1,404,654,583 is: 3,066,906,938.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,336,931 : 1,404,654,583 = 1,404,654,583 : x
  2. Step 2: Convert to fraction form
    643,336,931/1,404,654,583 = 1,404,654,583/x
  3. Step 3: Cross multiply
    643,336,931x = 1,404,654,583 × 1,404,654,583
  4. Step 4: Simplify right side
    643,336,931x = 1,973,054,497,542,903,808
  5. Step 5: Solve for x
    x = 1,973,054,497,542,903,808/643,336,931
  6. Step 6: Final answer
    x = 3,066,906,938.60

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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.