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Finding the Third Proportional to 1,076,368,705.50 and 1,686,297,319.50

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Solution

The third proportional to 1,076,368,705.50 and 1,686,297,319.50 is: 2,641,844,411.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076,368,705.50 : 1,686,297,319.50 = 1,686,297,319.50 : x
  2. Step 2: Convert to fraction form
    1,076,368,705.50/1,686,297,319.50 = 1,686,297,319.50/x
  3. Step 3: Cross multiply
    1,076,368,705.50x = 1,686,297,319.50 × 1,686,297,319.50
  4. Step 4: Simplify right side
    1,076,368,705.50x = 2,843,598,649,752,885,248
  5. Step 5: Solve for x
    x = 2,843,598,649,752,885,248/1,076,368,705.50
  6. Step 6: Final answer
    x = 2,641,844,411.88

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.