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Finding the Third Proportional to 759,803,818 and 1,135,233,023

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Solution

The third proportional to 759,803,818 and 1,135,233,023 is: 1,696,166,807.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,803,818 : 1,135,233,023 = 1,135,233,023 : x
  2. Step 2: Convert to fraction form
    759,803,818/1,135,233,023 = 1,135,233,023/x
  3. Step 3: Cross multiply
    759,803,818x = 1,135,233,023 × 1,135,233,023
  4. Step 4: Simplify right side
    759,803,818x = 1,288,754,016,509,718,528
  5. Step 5: Solve for x
    x = 1,288,754,016,509,718,528/759,803,818
  6. Step 6: Final answer
    x = 1,696,166,807.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.