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Finding the Third Proportional to 3,125,025,088 and 6,679,828,232

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Solution

The third proportional to 3,125,025,088 and 6,679,828,232 is: 14,278,319,038.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,125,025,088 : 6,679,828,232 = 6,679,828,232 : x
  2. Step 2: Convert to fraction form
    3,125,025,088/6,679,828,232 = 6,679,828,232/x
  3. Step 3: Cross multiply
    3,125,025,088x = 6,679,828,232 × 6,679,828,232
  4. Step 4: Simplify right side
    3,125,025,088x = 44,620,105,209,024,249,856
  5. Step 5: Solve for x
    x = 44,620,105,209,024,249,856/3,125,025,088
  6. Step 6: Final answer
    x = 14,278,319,038.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.