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Finding the Third Proportional to 35,865,617 and 74,283,265

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Solution

The third proportional to 35,865,617 and 74,283,265 is: 153,852,182.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,865,617 : 74,283,265 = 74,283,265 : x
  2. Step 2: Convert to fraction form
    35,865,617/74,283,265 = 74,283,265/x
  3. Step 3: Cross multiply
    35,865,617x = 74,283,265 × 74,283,265
  4. Step 4: Simplify right side
    35,865,617x = 5,518,003,459,060,225
  5. Step 5: Solve for x
    x = 5,518,003,459,060,225/35,865,617
  6. Step 6: Final answer
    x = 153,852,182.69

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.