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Finding the Third Proportional to 762,920,688 and 1,647,805,968

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Solution

The third proportional to 762,920,688 and 1,647,805,968 is: 3,559,039,033.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,920,688 : 1,647,805,968 = 1,647,805,968 : x
  2. Step 2: Convert to fraction form
    762,920,688/1,647,805,968 = 1,647,805,968/x
  3. Step 3: Cross multiply
    762,920,688x = 1,647,805,968 × 1,647,805,968
  4. Step 4: Simplify right side
    762,920,688x = 2,715,264,508,176,416,768
  5. Step 5: Solve for x
    x = 2,715,264,508,176,416,768/762,920,688
  6. Step 6: Final answer
    x = 3,559,039,033.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.