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Finding the Third Proportional to 402,129,696 and 867,774,246

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Solution

The third proportional to 402,129,696 and 867,774,246 is: 1,872,610,129.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,129,696 : 867,774,246 = 867,774,246 : x
  2. Step 2: Convert to fraction form
    402,129,696/867,774,246 = 867,774,246/x
  3. Step 3: Cross multiply
    402,129,696x = 867,774,246 × 867,774,246
  4. Step 4: Simplify right side
    402,129,696x = 753,032,142,020,868,480
  5. Step 5: Solve for x
    x = 753,032,142,020,868,480/402,129,696
  6. Step 6: Final answer
    x = 1,872,610,129.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.