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Finding the Third Proportional to 535,940,316 and 1,160,916,776

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Solution

The third proportional to 535,940,316 and 1,160,916,776 is: 2,514,697,477.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,940,316 : 1,160,916,776 = 1,160,916,776 : x
  2. Step 2: Convert to fraction form
    535,940,316/1,160,916,776 = 1,160,916,776/x
  3. Step 3: Cross multiply
    535,940,316x = 1,160,916,776 × 1,160,916,776
  4. Step 4: Simplify right side
    535,940,316x = 1,347,727,760,798,234,112
  5. Step 5: Solve for x
    x = 1,347,727,760,798,234,112/535,940,316
  6. Step 6: Final answer
    x = 2,514,697,477.62

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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.