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Finding the Third Proportional to 151,429,509,030 and 327,037,145,484

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Solution

The third proportional to 151,429,509,030 and 327,037,145,484 is: 706,290,968,064.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,429,509,030 : 327,037,145,484 = 327,037,145,484 : x
  2. Step 2: Convert to fraction form
    151,429,509,030/327,037,145,484 = 327,037,145,484/x
  3. Step 3: Cross multiply
    151,429,509,030x = 327,037,145,484 × 327,037,145,484
  4. Step 4: Simplify right side
    151,429,509,030x = 106,953,294,526,322,984,353,792
  5. Step 5: Solve for x
    x = 106,953,294,526,322,984,353,792/151,429,509,030
  6. Step 6: Final answer
    x = 706,290,968,064.45

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.