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Finding the Third Proportional to 4,302,064,020 and 9,257,900,004

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Solution

The third proportional to 4,302,064,020 and 9,257,900,004 is: 19,922,695,730.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,302,064,020 : 9,257,900,004 = 9,257,900,004 : x
  2. Step 2: Convert to fraction form
    4,302,064,020/9,257,900,004 = 9,257,900,004/x
  3. Step 3: Cross multiply
    4,302,064,020x = 9,257,900,004 × 9,257,900,004
  4. Step 4: Simplify right side
    4,302,064,020x = 85,708,712,484,063,199,232
  5. Step 5: Solve for x
    x = 85,708,712,484,063,199,232/4,302,064,020
  6. Step 6: Final answer
    x = 19,922,695,730.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.