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Finding the Third Proportional to 1,633,406,402 and 2,510,662,947

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Solution

The third proportional to 1,633,406,402 and 2,510,662,947 is: 3,859,069,259.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633,406,402 : 2,510,662,947 = 2,510,662,947 : x
  2. Step 2: Convert to fraction form
    1,633,406,402/2,510,662,947 = 2,510,662,947/x
  3. Step 3: Cross multiply
    1,633,406,402x = 2,510,662,947 × 2,510,662,947
  4. Step 4: Simplify right side
    1,633,406,402x = 6,303,428,433,438,725,120
  5. Step 5: Solve for x
    x = 6,303,428,433,438,725,120/1,633,406,402
  6. Step 6: Final answer
    x = 3,859,069,259.02

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.