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Finding the Third Proportional to 282,380,602,920 and 605,046,506,368

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Solution

The third proportional to 282,380,602,920 and 605,046,506,368 is: 1,296,410,840,838.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,380,602,920 : 605,046,506,368 = 605,046,506,368 : x
  2. Step 2: Convert to fraction form
    282,380,602,920/605,046,506,368 = 605,046,506,368/x
  3. Step 3: Cross multiply
    282,380,602,920x = 605,046,506,368 × 605,046,506,368
  4. Step 4: Simplify right side
    282,380,602,920x = 366,081,274,868,122,280,525,824
  5. Step 5: Solve for x
    x = 366,081,274,868,122,280,525,824/282,380,602,920
  6. Step 6: Final answer
    x = 1,296,410,840,838.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.