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Finding the Third Proportional to 1,460,798,668 and 2,962,245,772

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Solution

The third proportional to 1,460,798,668 and 2,962,245,772 is: 6,006,919,506.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460,798,668 : 2,962,245,772 = 2,962,245,772 : x
  2. Step 2: Convert to fraction form
    1,460,798,668/2,962,245,772 = 2,962,245,772/x
  3. Step 3: Cross multiply
    1,460,798,668x = 2,962,245,772 × 2,962,245,772
  4. Step 4: Simplify right side
    1,460,798,668x = 8,774,900,013,731,875,840
  5. Step 5: Solve for x
    x = 8,774,900,013,731,875,840/1,460,798,668
  6. Step 6: Final answer
    x = 6,006,919,506.40

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.