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Finding the Third Proportional to 658,594,291.50 and 1,431,975,465

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Solution

The third proportional to 658,594,291.50 and 1,431,975,465 is: 3,113,530,983.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,594,291.50 : 1,431,975,465 = 1,431,975,465 : x
  2. Step 2: Convert to fraction form
    658,594,291.50/1,431,975,465 = 1,431,975,465/x
  3. Step 3: Cross multiply
    658,594,291.50x = 1,431,975,465 × 1,431,975,465
  4. Step 4: Simplify right side
    658,594,291.50x = 2,050,553,732,361,966,336
  5. Step 5: Solve for x
    x = 2,050,553,732,361,966,336/658,594,291.50
  6. Step 6: Final answer
    x = 3,113,530,983.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.