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Finding the Third Proportional to 703,098,664 and 1,485,913,316

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Solution

The third proportional to 703,098,664 and 1,485,913,316 is: 3,140,296,654.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,098,664 : 1,485,913,316 = 1,485,913,316 : x
  2. Step 2: Convert to fraction form
    703,098,664/1,485,913,316 = 1,485,913,316/x
  3. Step 3: Cross multiply
    703,098,664x = 1,485,913,316 × 1,485,913,316
  4. Step 4: Simplify right side
    703,098,664x = 2,207,938,382,666,115,840
  5. Step 5: Solve for x
    x = 2,207,938,382,666,115,840/703,098,664
  6. Step 6: Final answer
    x = 3,140,296,654.96

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.