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Finding the Third Proportional to 849,893,083 and 1,838,006,480

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Solution

The third proportional to 849,893,083 and 1,838,006,480 is: 3,974,932,715.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,893,083 : 1,838,006,480 = 1,838,006,480 : x
  2. Step 2: Convert to fraction form
    849,893,083/1,838,006,480 = 1,838,006,480/x
  3. Step 3: Cross multiply
    849,893,083x = 1,838,006,480 × 1,838,006,480
  4. Step 4: Simplify right side
    849,893,083x = 3,378,267,820,521,990,144
  5. Step 5: Solve for x
    x = 3,378,267,820,521,990,144/849,893,083
  6. Step 6: Final answer
    x = 3,974,932,715.77

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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.