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Finding the Third Proportional to 1,057,352,053 and 2,290,433,930

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Solution

The third proportional to 1,057,352,053 and 2,290,433,930 is: 4,961,533,457.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057,352,053 : 2,290,433,930 = 2,290,433,930 : x
  2. Step 2: Convert to fraction form
    1,057,352,053/2,290,433,930 = 2,290,433,930/x
  3. Step 3: Cross multiply
    1,057,352,053x = 2,290,433,930 × 2,290,433,930
  4. Step 4: Simplify right side
    1,057,352,053x = 5,246,087,587,695,245,312
  5. Step 5: Solve for x
    x = 5,246,087,587,695,245,312/1,057,352,053
  6. Step 6: Final answer
    x = 4,961,533,457.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.