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Finding the Third Proportional to 1,005,620,526 and 2,164,931,180

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Solution

The third proportional to 1,005,620,526 and 2,164,931,180 is: 4,660,731,252.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005,620,526 : 2,164,931,180 = 2,164,931,180 : x
  2. Step 2: Convert to fraction form
    1,005,620,526/2,164,931,180 = 2,164,931,180/x
  3. Step 3: Cross multiply
    1,005,620,526x = 2,164,931,180 × 2,164,931,180
  4. Step 4: Simplify right side
    1,005,620,526x = 4,686,927,014,136,192,000
  5. Step 5: Solve for x
    x = 4,686,927,014,136,192,000/1,005,620,526
  6. Step 6: Final answer
    x = 4,660,731,252.95

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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.