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Finding the Third Proportional to 726,996,246 and 1,564,847,148

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Solution

The third proportional to 726,996,246 and 1,564,847,148 is: 3,368,307,071.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,996,246 : 1,564,847,148 = 1,564,847,148 : x
  2. Step 2: Convert to fraction form
    726,996,246/1,564,847,148 = 1,564,847,148/x
  3. Step 3: Cross multiply
    726,996,246x = 1,564,847,148 × 1,564,847,148
  4. Step 4: Simplify right side
    726,996,246x = 2,448,746,596,603,734,016
  5. Step 5: Solve for x
    x = 2,448,746,596,603,734,016/726,996,246
  6. Step 6: Final answer
    x = 3,368,307,071.84

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.