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Finding the Third Proportional to 142,122,449,980.40 and 316,021,451,316.48

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Solution

The third proportional to 142,122,449,980.40 and 316,021,451,316.48 is: 702,700,788,692.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,122,449,980.40 : 316,021,451,316.48 = 316,021,451,316.48 : x
  2. Step 2: Convert to fraction form
    142,122,449,980.40/316,021,451,316.48 = 316,021,451,316.48/x
  3. Step 3: Cross multiply
    142,122,449,980.40x = 316,021,451,316.48 × 316,021,451,316.48
  4. Step 4: Simplify right side
    142,122,449,980.40x = 99,869,557,692,174,325,252,096
  5. Step 5: Solve for x
    x = 99,869,557,692,174,325,252,096/142,122,449,980.40
  6. Step 6: Final answer
    x = 702,700,788,692.76

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.