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Finding the Third Proportional to 830,506,207 and 1,960,489,292

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Solution

The third proportional to 830,506,207 and 1,960,489,292 is: 4,627,922,382.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,506,207 : 1,960,489,292 = 1,960,489,292 : x
  2. Step 2: Convert to fraction form
    830,506,207/1,960,489,292 = 1,960,489,292/x
  3. Step 3: Cross multiply
    830,506,207x = 1,960,489,292 × 1,960,489,292
  4. Step 4: Simplify right side
    830,506,207x = 3,843,518,264,046,661,120
  5. Step 5: Solve for x
    x = 3,843,518,264,046,661,120/830,506,207
  6. Step 6: Final answer
    x = 4,627,922,382.34

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.