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Finding the Third Proportional to 31,249,444 and 68,457,032

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Solution

The third proportional to 31,249,444 and 68,457,032 is: 149,966,355.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,249,444 : 68,457,032 = 68,457,032 : x
  2. Step 2: Convert to fraction form
    31,249,444/68,457,032 = 68,457,032/x
  3. Step 3: Cross multiply
    31,249,444x = 68,457,032 × 68,457,032
  4. Step 4: Simplify right side
    31,249,444x = 4,686,365,230,249,024
  5. Step 5: Solve for x
    x = 4,686,365,230,249,024/31,249,444
  6. Step 6: Final answer
    x = 149,966,355.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.