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Finding the Third Proportional to 766,913,882 and 1,677,317,284

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Solution

The third proportional to 766,913,882 and 1,677,317,284 is: 3,668,460,484.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,913,882 : 1,677,317,284 = 1,677,317,284 : x
  2. Step 2: Convert to fraction form
    766,913,882/1,677,317,284 = 1,677,317,284/x
  3. Step 3: Cross multiply
    766,913,882x = 1,677,317,284 × 1,677,317,284
  4. Step 4: Simplify right side
    766,913,882x = 2,813,393,271,205,136,896
  5. Step 5: Solve for x
    x = 2,813,393,271,205,136,896/766,913,882
  6. Step 6: Final answer
    x = 3,668,460,484.60

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.