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Finding the Third Proportional to 524,588,293.69 and 1,130,893,948.69

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Solution

The third proportional to 524,588,293.69 and 1,130,893,948.69 is: 2,437,952,082.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,588,293.69 : 1,130,893,948.69 = 1,130,893,948.69 : x
  2. Step 2: Convert to fraction form
    524,588,293.69/1,130,893,948.69 = 1,130,893,948.69/x
  3. Step 3: Cross multiply
    524,588,293.69x = 1,130,893,948.69 × 1,130,893,948.69
  4. Step 4: Simplify right side
    524,588,293.69x = 1,278,921,123,178,005,760
  5. Step 5: Solve for x
    x = 1,278,921,123,178,005,760/524,588,293.69
  6. Step 6: Final answer
    x = 2,437,952,082.74

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.