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Finding the Third Proportional to 7,167,574,483.88 and 9,965,939,395.50

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Solution

The third proportional to 7,167,574,483.88 and 9,965,939,395.50 is: 13,856,842,123.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167,574,483.88 : 9,965,939,395.50 = 9,965,939,395.50 : x
  2. Step 2: Convert to fraction form
    7,167,574,483.88/9,965,939,395.50 = 9,965,939,395.50/x
  3. Step 3: Cross multiply
    7,167,574,483.88x = 9,965,939,395.50 × 9,965,939,395.50
  4. Step 4: Simplify right side
    7,167,574,483.88x = 99,319,948,034,778,906,624
  5. Step 5: Solve for x
    x = 99,319,948,034,778,906,624/7,167,574,483.88
  6. Step 6: Final answer
    x = 13,856,842,123.96

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.