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Finding the Third Proportional to 243,471,465 and 495,445,959

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Solution

The third proportional to 243,471,465 and 495,445,959 is: 1,008,194,936.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,471,465 : 495,445,959 = 495,445,959 : x
  2. Step 2: Convert to fraction form
    243,471,465/495,445,959 = 495,445,959/x
  3. Step 3: Cross multiply
    243,471,465x = 495,445,959 × 495,445,959
  4. Step 4: Simplify right side
    243,471,465x = 245,466,698,289,429,696
  5. Step 5: Solve for x
    x = 245,466,698,289,429,696/243,471,465
  6. Step 6: Final answer
    x = 1,008,194,936.89

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.