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Finding the Third Proportional to 715,727,556 and 1,565,430,408

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Solution

The third proportional to 715,727,556 and 1,565,430,408 is: 3,423,889,916.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,727,556 : 1,565,430,408 = 1,565,430,408 : x
  2. Step 2: Convert to fraction form
    715,727,556/1,565,430,408 = 1,565,430,408/x
  3. Step 3: Cross multiply
    715,727,556x = 1,565,430,408 × 1,565,430,408
  4. Step 4: Simplify right side
    715,727,556x = 2,450,572,362,291,046,400
  5. Step 5: Solve for x
    x = 2,450,572,362,291,046,400/715,727,556
  6. Step 6: Final answer
    x = 3,423,889,916.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.