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Finding the Third Proportional to 624,804,336 and 1,301,323,356

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Solution

The third proportional to 624,804,336 and 1,301,323,356 is: 2,710,356,473.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,804,336 : 1,301,323,356 = 1,301,323,356 : x
  2. Step 2: Convert to fraction form
    624,804,336/1,301,323,356 = 1,301,323,356/x
  3. Step 3: Cross multiply
    624,804,336x = 1,301,323,356 × 1,301,323,356
  4. Step 4: Simplify right side
    624,804,336x = 1,693,442,476,871,102,720
  5. Step 5: Solve for x
    x = 1,693,442,476,871,102,720/624,804,336
  6. Step 6: Final answer
    x = 2,710,356,473.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.