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Finding the Third Proportional to 1,437,664,431 and 2,054,459,866.50

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Solution

The third proportional to 1,437,664,431 and 2,054,459,866.50 is: 2,935,876,587.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437,664,431 : 2,054,459,866.50 = 2,054,459,866.50 : x
  2. Step 2: Convert to fraction form
    1,437,664,431/2,054,459,866.50 = 2,054,459,866.50/x
  3. Step 3: Cross multiply
    1,437,664,431x = 2,054,459,866.50 × 2,054,459,866.50
  4. Step 4: Simplify right side
    1,437,664,431x = 4,220,805,343,059,197,952
  5. Step 5: Solve for x
    x = 4,220,805,343,059,197,952/1,437,664,431
  6. Step 6: Final answer
    x = 2,935,876,587.09

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.