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Finding the Third Proportional to 908,917,020 and 1,963,116,432

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Solution

The third proportional to 908,917,020 and 1,963,116,432 is: 4,240,019,760.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,917,020 : 1,963,116,432 = 1,963,116,432 : x
  2. Step 2: Convert to fraction form
    908,917,020/1,963,116,432 = 1,963,116,432/x
  3. Step 3: Cross multiply
    908,917,020x = 1,963,116,432 × 1,963,116,432
  4. Step 4: Simplify right side
    908,917,020x = 3,853,826,125,588,410,368
  5. Step 5: Solve for x
    x = 3,853,826,125,588,410,368/908,917,020
  6. Step 6: Final answer
    x = 4,240,019,760.65

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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.