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Finding the Third Proportional to 2,905,428,046 and 4,076,891,318

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Solution

The third proportional to 2,905,428,046 and 4,076,891,318 is: 5,720,686,437.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905,428,046 : 4,076,891,318 = 4,076,891,318 : x
  2. Step 2: Convert to fraction form
    2,905,428,046/4,076,891,318 = 4,076,891,318/x
  3. Step 3: Cross multiply
    2,905,428,046x = 4,076,891,318 × 4,076,891,318
  4. Step 4: Simplify right side
    2,905,428,046x = 16,621,042,818,783,776,768
  5. Step 5: Solve for x
    x = 16,621,042,818,783,776,768/2,905,428,046
  6. Step 6: Final answer
    x = 5,720,686,437.81

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.