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Finding the Third Proportional to 830,506,209 and 1,960,489,294

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Solution

The third proportional to 830,506,209 and 1,960,489,294 is: 4,627,922,380.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,506,209 : 1,960,489,294 = 1,960,489,294 : x
  2. Step 2: Convert to fraction form
    830,506,209/1,960,489,294 = 1,960,489,294/x
  3. Step 3: Cross multiply
    830,506,209x = 1,960,489,294 × 1,960,489,294
  4. Step 4: Simplify right side
    830,506,209x = 3,843,518,271,888,618,496
  5. Step 5: Solve for x
    x = 3,843,518,271,888,618,496/830,506,209
  6. Step 6: Final answer
    x = 4,627,922,380.64

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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.