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Finding the Third Proportional to 468,605,688 and 975,997,200

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Solution

The third proportional to 468,605,688 and 975,997,200 is: 2,032,776,295.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,605,688 : 975,997,200 = 975,997,200 : x
  2. Step 2: Convert to fraction form
    468,605,688/975,997,200 = 975,997,200/x
  3. Step 3: Cross multiply
    468,605,688x = 975,997,200 × 975,997,200
  4. Step 4: Simplify right side
    468,605,688x = 952,570,534,407,840,000
  5. Step 5: Solve for x
    x = 952,570,534,407,840,000/468,605,688
  6. Step 6: Final answer
    x = 2,032,776,295.30

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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.