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Finding the Third Proportional to 711,504,648 and 1,063,071,868.50

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Solution

The third proportional to 711,504,648 and 1,063,071,868.50 is: 1,588,354,764.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,504,648 : 1,063,071,868.50 = 1,063,071,868.50 : x
  2. Step 2: Convert to fraction form
    711,504,648/1,063,071,868.50 = 1,063,071,868.50/x
  3. Step 3: Cross multiply
    711,504,648x = 1,063,071,868.50 × 1,063,071,868.50
  4. Step 4: Simplify right side
    711,504,648x = 1,130,121,797,596,081,280
  5. Step 5: Solve for x
    x = 1,130,121,797,596,081,280/711,504,648
  6. Step 6: Final answer
    x = 1,588,354,764.47

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