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Finding the Third Proportional to 713,465,140 and 1,091,521,780

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Solution

The third proportional to 713,465,140 and 1,091,521,780 is: 1,669,906,109.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,465,140 : 1,091,521,780 = 1,091,521,780 : x
  2. Step 2: Convert to fraction form
    713,465,140/1,091,521,780 = 1,091,521,780/x
  3. Step 3: Cross multiply
    713,465,140x = 1,091,521,780 × 1,091,521,780
  4. Step 4: Simplify right side
    713,465,140x = 1,191,419,796,214,368,512
  5. Step 5: Solve for x
    x = 1,191,419,796,214,368,512/713,465,140
  6. Step 6: Final answer
    x = 1,669,906,109.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.