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Finding the Third Proportional to 580,168,017 and 899,662,801.50

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Solution

The third proportional to 580,168,017 and 899,662,801.50 is: 1,395,101,302.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,168,017 : 899,662,801.50 = 899,662,801.50 : x
  2. Step 2: Convert to fraction form
    580,168,017/899,662,801.50 = 899,662,801.50/x
  3. Step 3: Cross multiply
    580,168,017x = 899,662,801.50 × 899,662,801.50
  4. Step 4: Simplify right side
    580,168,017x = 809,393,156,402,828,416
  5. Step 5: Solve for x
    x = 809,393,156,402,828,416/580,168,017
  6. Step 6: Final answer
    x = 1,395,101,302.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.