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Finding the Third Proportional to 949,475,477,964 and 1,281,065,351,430

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Solution

The third proportional to 949,475,477,964 and 1,281,065,351,430 is: 1,728,457,946,226.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,475,477,964 : 1,281,065,351,430 = 1,281,065,351,430 : x
  2. Step 2: Convert to fraction form
    949,475,477,964/1,281,065,351,430 = 1,281,065,351,430/x
  3. Step 3: Cross multiply
    949,475,477,964x = 1,281,065,351,430 × 1,281,065,351,430
  4. Step 4: Simplify right side
    949,475,477,964x = 1,641,128,434,634,469,310,201,856
  5. Step 5: Solve for x
    x = 1,641,128,434,634,469,310,201,856/949,475,477,964
  6. Step 6: Final answer
    x = 1,728,457,946,226.91

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.