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Finding the Third Proportional to 308,029,686,765.76 and 658,450,532,526.72

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Solution

The third proportional to 308,029,686,765.76 and 658,450,532,526.72 is: 1,407,517,269,965.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,029,686,765.76 : 658,450,532,526.72 = 658,450,532,526.72 : x
  2. Step 2: Convert to fraction form
    308,029,686,765.76/658,450,532,526.72 = 658,450,532,526.72/x
  3. Step 3: Cross multiply
    308,029,686,765.76x = 658,450,532,526.72 × 658,450,532,526.72
  4. Step 4: Simplify right side
    308,029,686,765.76x = 433,557,103,784,721,108,697,088
  5. Step 5: Solve for x
    x = 433,557,103,784,721,108,697,088/308,029,686,765.76
  6. Step 6: Final answer
    x = 1,407,517,269,965.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.