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Finding the Third Proportional to 69,445,728 and 102,249,972

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Solution

The third proportional to 69,445,728 and 102,249,972 is: 150,550,034.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,445,728 : 102,249,972 = 102,249,972 : x
  2. Step 2: Convert to fraction form
    69,445,728/102,249,972 = 102,249,972/x
  3. Step 3: Cross multiply
    69,445,728x = 102,249,972 × 102,249,972
  4. Step 4: Simplify right side
    69,445,728x = 10,455,056,774,000,784
  5. Step 5: Solve for x
    x = 10,455,056,774,000,784/69,445,728
  6. Step 6: Final answer
    x = 150,550,034.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.