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Finding the Third Proportional to 31,404,282 and 46,918,206

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Solution

The third proportional to 31,404,282 and 46,918,206 is: 70,096,111.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,404,282 : 46,918,206 = 46,918,206 : x
  2. Step 2: Convert to fraction form
    31,404,282/46,918,206 = 46,918,206/x
  3. Step 3: Cross multiply
    31,404,282x = 46,918,206 × 46,918,206
  4. Step 4: Simplify right side
    31,404,282x = 2,201,318,054,258,436
  5. Step 5: Solve for x
    x = 2,201,318,054,258,436/31,404,282
  6. Step 6: Final answer
    x = 70,096,111.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.