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Finding the Third Proportional to 1,677,496,736 and 2,501,698,020

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Solution

The third proportional to 1,677,496,736 and 2,501,698,020 is: 3,730,852,554.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677,496,736 : 2,501,698,020 = 2,501,698,020 : x
  2. Step 2: Convert to fraction form
    1,677,496,736/2,501,698,020 = 2,501,698,020/x
  3. Step 3: Cross multiply
    1,677,496,736x = 2,501,698,020 × 2,501,698,020
  4. Step 4: Simplify right side
    1,677,496,736x = 6,258,492,983,271,920,640
  5. Step 5: Solve for x
    x = 6,258,492,983,271,920,640/1,677,496,736
  6. Step 6: Final answer
    x = 3,730,852,554.86

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