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Finding the Third Proportional to 774,098,046,076 and 1,076,321,457,844

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Solution

The third proportional to 774,098,046,076 and 1,076,321,457,844 is: 1,496,538,954,577.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,098,046,076 : 1,076,321,457,844 = 1,076,321,457,844 : x
  2. Step 2: Convert to fraction form
    774,098,046,076/1,076,321,457,844 = 1,076,321,457,844/x
  3. Step 3: Cross multiply
    774,098,046,076x = 1,076,321,457,844 × 1,076,321,457,844
  4. Step 4: Simplify right side
    774,098,046,076x = 1,158,467,880,615,433,421,717,504
  5. Step 5: Solve for x
    x = 1,158,467,880,615,433,421,717,504/774,098,046,076
  6. Step 6: Final answer
    x = 1,496,538,954,577.98

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.