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Finding the Third Proportional to 830,746,806 and 1,772,684,796

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Solution

The third proportional to 830,746,806 and 1,772,684,796 is: 3,782,634,327.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,746,806 : 1,772,684,796 = 1,772,684,796 : x
  2. Step 2: Convert to fraction form
    830,746,806/1,772,684,796 = 1,772,684,796/x
  3. Step 3: Cross multiply
    830,746,806x = 1,772,684,796 × 1,772,684,796
  4. Step 4: Simplify right side
    830,746,806x = 3,142,411,385,969,561,600
  5. Step 5: Solve for x
    x = 3,142,411,385,969,561,600/830,746,806
  6. Step 6: Final answer
    x = 3,782,634,327.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.