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Finding the Third Proportional to 487,185,253.50 and 1,136,804,857.50

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Solution

The third proportional to 487,185,253.50 and 1,136,804,857.50 is: 2,652,636,291.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,185,253.50 : 1,136,804,857.50 = 1,136,804,857.50 : x
  2. Step 2: Convert to fraction form
    487,185,253.50/1,136,804,857.50 = 1,136,804,857.50/x
  3. Step 3: Cross multiply
    487,185,253.50x = 1,136,804,857.50 × 1,136,804,857.50
  4. Step 4: Simplify right side
    487,185,253.50x = 1,292,325,284,035,595,264
  5. Step 5: Solve for x
    x = 1,292,325,284,035,595,264/487,185,253.50
  6. Step 6: Final answer
    x = 2,652,636,291.33

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.