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Finding the Third Proportional to 1,457,156,322 and 2,238,370,346

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Solution

The third proportional to 1,457,156,322 and 2,238,370,346 is: 3,438,410,642.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457,156,322 : 2,238,370,346 = 2,238,370,346 : x
  2. Step 2: Convert to fraction form
    1,457,156,322/2,238,370,346 = 2,238,370,346/x
  3. Step 3: Cross multiply
    1,457,156,322x = 2,238,370,346 × 2,238,370,346
  4. Step 4: Simplify right side
    1,457,156,322x = 5,010,301,805,852,160,000
  5. Step 5: Solve for x
    x = 5,010,301,805,852,160,000/1,457,156,322
  6. Step 6: Final answer
    x = 3,438,410,642.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.