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Finding the Third Proportional to 1,705,925,988 and 2,620,966,736

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Solution

The third proportional to 1,705,925,988 and 2,620,966,736 is: 4,026,825,711.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705,925,988 : 2,620,966,736 = 2,620,966,736 : x
  2. Step 2: Convert to fraction form
    1,705,925,988/2,620,966,736 = 2,620,966,736/x
  3. Step 3: Cross multiply
    1,705,925,988x = 2,620,966,736 × 2,620,966,736
  4. Step 4: Simplify right side
    1,705,925,988x = 6,869,466,631,218,493,440
  5. Step 5: Solve for x
    x = 6,869,466,631,218,493,440/1,705,925,988
  6. Step 6: Final answer
    x = 4,026,825,711.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.