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Finding the Third Proportional to 266,034,411 and 621,576,423

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Solution

The third proportional to 266,034,411 and 621,576,423 is: 1,452,282,989.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,034,411 : 621,576,423 = 621,576,423 : x
  2. Step 2: Convert to fraction form
    266,034,411/621,576,423 = 621,576,423/x
  3. Step 3: Cross multiply
    266,034,411x = 621,576,423 × 621,576,423
  4. Step 4: Simplify right side
    266,034,411x = 386,357,249,629,474,944
  5. Step 5: Solve for x
    x = 386,357,249,629,474,944/266,034,411
  6. Step 6: Final answer
    x = 1,452,282,989.17

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.