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Finding the Third Proportional to 950,961,320 and 2,070,746,464

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Solution

The third proportional to 950,961,320 and 2,070,746,464 is: 4,509,111,809.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    950,961,320 : 2,070,746,464 = 2,070,746,464 : x
  2. Step 2: Convert to fraction form
    950,961,320/2,070,746,464 = 2,070,746,464/x
  3. Step 3: Cross multiply
    950,961,320x = 2,070,746,464 × 2,070,746,464
  4. Step 4: Simplify right side
    950,961,320x = 4,287,990,918,168,503,296
  5. Step 5: Solve for x
    x = 4,287,990,918,168,503,296/950,961,320
  6. Step 6: Final answer
    x = 4,509,111,809.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.