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Finding the Third Proportional to 10,012,968,750 and 20,849,962,776

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Solution

The third proportional to 10,012,968,750 and 20,849,962,776 is: 43,415,789,923.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012,968,750 : 20,849,962,776 = 20,849,962,776 : x
  2. Step 2: Convert to fraction form
    10,012,968,750/20,849,962,776 = 20,849,962,776/x
  3. Step 3: Cross multiply
    10,012,968,750x = 20,849,962,776 × 20,849,962,776
  4. Step 4: Simplify right side
    10,012,968,750x = 434,720,947,760,585,637,888
  5. Step 5: Solve for x
    x = 434,720,947,760,585,637,888/10,012,968,750
  6. Step 6: Final answer
    x = 43,415,789,923.50

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.