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Finding the Third Proportional to 358,695,912,522 and 790,505,477,550

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Solution

The third proportional to 358,695,912,522 and 790,505,477,550 is: 1,742,141,151,380.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,695,912,522 : 790,505,477,550 = 790,505,477,550 : x
  2. Step 2: Convert to fraction form
    358,695,912,522/790,505,477,550 = 790,505,477,550/x
  3. Step 3: Cross multiply
    358,695,912,522x = 790,505,477,550 × 790,505,477,550
  4. Step 4: Simplify right side
    358,695,912,522x = 624,898,910,036,553,587,752,960
  5. Step 5: Solve for x
    x = 624,898,910,036,553,587,752,960/358,695,912,522
  6. Step 6: Final answer
    x = 1,742,141,151,380.49

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