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Finding the Third Proportional to 633,038,497 and 956,172,732

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Solution

The third proportional to 633,038,497 and 956,172,732 is: 1,444,250,701.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,038,497 : 956,172,732 = 956,172,732 : x
  2. Step 2: Convert to fraction form
    633,038,497/956,172,732 = 956,172,732/x
  3. Step 3: Cross multiply
    633,038,497x = 956,172,732 × 956,172,732
  4. Step 4: Simplify right side
    633,038,497x = 914,266,293,420,343,808
  5. Step 5: Solve for x
    x = 914,266,293,420,343,808/633,038,497
  6. Step 6: Final answer
    x = 1,444,250,701.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.