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Finding the Third Proportional to 402,783,276 and 867,543,398

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Solution

The third proportional to 402,783,276 and 867,543,398 is: 1,868,576,955.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,783,276 : 867,543,398 = 867,543,398 : x
  2. Step 2: Convert to fraction form
    402,783,276/867,543,398 = 867,543,398/x
  3. Step 3: Cross multiply
    402,783,276x = 867,543,398 × 867,543,398
  4. Step 4: Simplify right side
    402,783,276x = 752,631,547,413,386,368
  5. Step 5: Solve for x
    x = 752,631,547,413,386,368/402,783,276
  6. Step 6: Final answer
    x = 1,868,576,955.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.