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Finding the Third Proportional to 295,048,981 and 433,007,497.50

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Solution

The third proportional to 295,048,981 and 433,007,497.50 is: 635,472,429.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,048,981 : 433,007,497.50 = 433,007,497.50 : x
  2. Step 2: Convert to fraction form
    295,048,981/433,007,497.50 = 433,007,497.50/x
  3. Step 3: Cross multiply
    295,048,981x = 433,007,497.50 × 433,007,497.50
  4. Step 4: Simplify right side
    295,048,981x = 187,495,492,891,212,512
  5. Step 5: Solve for x
    x = 187,495,492,891,212,512/295,048,981
  6. Step 6: Final answer
    x = 635,472,429.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.