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Finding the Third Proportional to 849,893,081 and 1,838,006,476

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Solution

The third proportional to 849,893,081 and 1,838,006,476 is: 3,974,932,707.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,893,081 : 1,838,006,476 = 1,838,006,476 : x
  2. Step 2: Convert to fraction form
    849,893,081/1,838,006,476 = 1,838,006,476/x
  3. Step 3: Cross multiply
    849,893,081x = 1,838,006,476 × 1,838,006,476
  4. Step 4: Simplify right side
    849,893,081x = 3,378,267,805,817,938,432
  5. Step 5: Solve for x
    x = 3,378,267,805,817,938,432/849,893,081
  6. Step 6: Final answer
    x = 3,974,932,707.82

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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.