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Finding the Third Proportional to 524,899,017 and 807,924,145.50

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Solution

The third proportional to 524,899,017 and 807,924,145.50 is: 1,243,556,196.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,899,017 : 807,924,145.50 = 807,924,145.50 : x
  2. Step 2: Convert to fraction form
    524,899,017/807,924,145.50 = 807,924,145.50/x
  3. Step 3: Cross multiply
    524,899,017x = 807,924,145.50 × 807,924,145.50
  4. Step 4: Simplify right side
    524,899,017x = 652,741,424,881,905,152
  5. Step 5: Solve for x
    x = 652,741,424,881,905,152/524,899,017
  6. Step 6: Final answer
    x = 1,243,556,196.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.