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Finding the Third Proportional to 714,588,204.38 and 1,547,890,758

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Solution

The third proportional to 714,588,204.38 and 1,547,890,758 is: 3,352,932,197.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,588,204.38 : 1,547,890,758 = 1,547,890,758 : x
  2. Step 2: Convert to fraction form
    714,588,204.38/1,547,890,758 = 1,547,890,758/x
  3. Step 3: Cross multiply
    714,588,204.38x = 1,547,890,758 × 1,547,890,758
  4. Step 4: Simplify right side
    714,588,204.38x = 2,395,965,798,701,814,784
  5. Step 5: Solve for x
    x = 2,395,965,798,701,814,784/714,588,204.38
  6. Step 6: Final answer
    x = 3,352,932,197.92

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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.