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Finding the Third Proportional to 738,855,276.75 and 1,606,316,008.50

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Solution

The third proportional to 738,855,276.75 and 1,606,316,008.50 is: 3,492,228,045.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,855,276.75 : 1,606,316,008.50 = 1,606,316,008.50 : x
  2. Step 2: Convert to fraction form
    738,855,276.75/1,606,316,008.50 = 1,606,316,008.50/x
  3. Step 3: Cross multiply
    738,855,276.75x = 1,606,316,008.50 × 1,606,316,008.50
  4. Step 4: Simplify right side
    738,855,276.75x = 2,580,251,119,163,372,032
  5. Step 5: Solve for x
    x = 2,580,251,119,163,372,032/738,855,276.75
  6. Step 6: Final answer
    x = 3,492,228,045.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.