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Finding the Third Proportional to 498,630,014 and 745,154,247

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Solution

The third proportional to 498,630,014 and 745,154,247 is: 1,113,560,829.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,630,014 : 745,154,247 = 745,154,247 : x
  2. Step 2: Convert to fraction form
    498,630,014/745,154,247 = 745,154,247/x
  3. Step 3: Cross multiply
    498,630,014x = 745,154,247 × 745,154,247
  4. Step 4: Simplify right side
    498,630,014x = 555,254,851,822,137,024
  5. Step 5: Solve for x
    x = 555,254,851,822,137,024/498,630,014
  6. Step 6: Final answer
    x = 1,113,560,829.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.