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Finding the Third Proportional to 121,286,457 and 263,823,534

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Solution

The third proportional to 121,286,457 and 263,823,534 is: 573,871,632.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,286,457 : 263,823,534 = 263,823,534 : x
  2. Step 2: Convert to fraction form
    121,286,457/263,823,534 = 263,823,534/x
  3. Step 3: Cross multiply
    121,286,457x = 263,823,534 × 263,823,534
  4. Step 4: Simplify right side
    121,286,457x = 69,602,857,092,249,152
  5. Step 5: Solve for x
    x = 69,602,857,092,249,152/121,286,457
  6. Step 6: Final answer
    x = 573,871,632.61

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.