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Finding the Third Proportional to 2,962,181,164.50 and 6,370,160,409

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Solution

The third proportional to 2,962,181,164.50 and 6,370,160,409 is: 13,699,008,056.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962,181,164.50 : 6,370,160,409 = 6,370,160,409 : x
  2. Step 2: Convert to fraction form
    2,962,181,164.50/6,370,160,409 = 6,370,160,409/x
  3. Step 3: Cross multiply
    2,962,181,164.50x = 6,370,160,409 × 6,370,160,409
  4. Step 4: Simplify right side
    2,962,181,164.50x = 40,578,943,636,391,051,264
  5. Step 5: Solve for x
    x = 40,578,943,636,391,051,264/2,962,181,164.50
  6. Step 6: Final answer
    x = 13,699,008,056.19

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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.