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Finding the Third Proportional to 707,735,973,840 and 1,559,731,076,400

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Solution

The third proportional to 707,735,973,840 and 1,559,731,076,400 is: 3,437,385,014,482.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,735,973,840 : 1,559,731,076,400 = 1,559,731,076,400 : x
  2. Step 2: Convert to fraction form
    707,735,973,840/1,559,731,076,400 = 1,559,731,076,400/x
  3. Step 3: Cross multiply
    707,735,973,840x = 1,559,731,076,400 × 1,559,731,076,400
  4. Step 4: Simplify right side
    707,735,973,840x = 2,432,761,030,687,902,505,369,600
  5. Step 5: Solve for x
    x = 2,432,761,030,687,902,505,369,600/707,735,973,840
  6. Step 6: Final answer
    x = 3,437,385,014,482.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.