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Finding the Third Proportional to 413,368,146 and 612,303,412.50

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Solution

The third proportional to 413,368,146 and 612,303,412.50 is: 906,977,164.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,368,146 : 612,303,412.50 = 612,303,412.50 : x
  2. Step 2: Convert to fraction form
    413,368,146/612,303,412.50 = 612,303,412.50/x
  3. Step 3: Cross multiply
    413,368,146x = 612,303,412.50 × 612,303,412.50
  4. Step 4: Simplify right side
    413,368,146x = 374,915,468,959,145,152
  5. Step 5: Solve for x
    x = 374,915,468,959,145,152/413,368,146
  6. Step 6: Final answer
    x = 906,977,164.51

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.