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Finding the Third Proportional to 786,365,316 and 1,220,982,063

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Solution

The third proportional to 786,365,316 and 1,220,982,063 is: 1,895,807,416.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,365,316 : 1,220,982,063 = 1,220,982,063 : x
  2. Step 2: Convert to fraction form
    786,365,316/1,220,982,063 = 1,220,982,063/x
  3. Step 3: Cross multiply
    786,365,316x = 1,220,982,063 × 1,220,982,063
  4. Step 4: Simplify right side
    786,365,316x = 1,490,797,198,167,736,064
  5. Step 5: Solve for x
    x = 1,490,797,198,167,736,064/786,365,316
  6. Step 6: Final answer
    x = 1,895,807,416.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.