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Finding the Third Proportional to 1,783,043,016 and 3,746,572,176

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Solution

The third proportional to 1,783,043,016 and 3,746,572,176 is: 7,872,386,108.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783,043,016 : 3,746,572,176 = 3,746,572,176 : x
  2. Step 2: Convert to fraction form
    1,783,043,016/3,746,572,176 = 3,746,572,176/x
  3. Step 3: Cross multiply
    1,783,043,016x = 3,746,572,176 × 3,746,572,176
  4. Step 4: Simplify right side
    1,783,043,016x = 14,036,803,069,977,374,720
  5. Step 5: Solve for x
    x = 14,036,803,069,977,374,720/1,783,043,016
  6. Step 6: Final answer
    x = 7,872,386,108.48

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.