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Finding the Third Proportional to 2,886,019,510.50 and 4,461,561,729

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Solution

The third proportional to 2,886,019,510.50 and 4,461,561,729 is: 6,897,227,475.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886,019,510.50 : 4,461,561,729 = 4,461,561,729 : x
  2. Step 2: Convert to fraction form
    2,886,019,510.50/4,461,561,729 = 4,461,561,729/x
  3. Step 3: Cross multiply
    2,886,019,510.50x = 4,461,561,729 × 4,461,561,729
  4. Step 4: Simplify right side
    2,886,019,510.50x = 19,905,533,061,677,469,696
  5. Step 5: Solve for x
    x = 19,905,533,061,677,469,696/2,886,019,510.50
  6. Step 6: Final answer
    x = 6,897,227,475.16

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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.