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Finding the Third Proportional to 1,677,496,745 and 2,501,698,033

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Solution

The third proportional to 1,677,496,745 and 2,501,698,033 is: 3,730,852,573.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677,496,745 : 2,501,698,033 = 2,501,698,033 : x
  2. Step 2: Convert to fraction form
    1,677,496,745/2,501,698,033 = 2,501,698,033/x
  3. Step 3: Cross multiply
    1,677,496,745x = 2,501,698,033 × 2,501,698,033
  4. Step 4: Simplify right side
    1,677,496,745x = 6,258,493,048,316,068,864
  5. Step 5: Solve for x
    x = 6,258,493,048,316,068,864/1,677,496,745
  6. Step 6: Final answer
    x = 3,730,852,573.62

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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.