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Finding the Third Proportional to 262,032,347 and 560,874,010

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Solution

The third proportional to 262,032,347 and 560,874,010 is: 1,200,537,485.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,032,347 : 560,874,010 = 560,874,010 : x
  2. Step 2: Convert to fraction form
    262,032,347/560,874,010 = 560,874,010/x
  3. Step 3: Cross multiply
    262,032,347x = 560,874,010 × 560,874,010
  4. Step 4: Simplify right side
    262,032,347x = 314,579,655,093,480,128
  5. Step 5: Solve for x
    x = 314,579,655,093,480,128/262,032,347
  6. Step 6: Final answer
    x = 1,200,537,485.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.