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Finding the Third Proportional to 2,614,639,502 and 5,602,291,132

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Solution

The third proportional to 2,614,639,502 and 5,602,291,132 is: 12,003,821,522.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614,639,502 : 5,602,291,132 = 5,602,291,132 : x
  2. Step 2: Convert to fraction form
    2,614,639,502/5,602,291,132 = 5,602,291,132/x
  3. Step 3: Cross multiply
    2,614,639,502x = 5,602,291,132 × 5,602,291,132
  4. Step 4: Simplify right side
    2,614,639,502x = 31,385,665,927,685,840,896
  5. Step 5: Solve for x
    x = 31,385,665,927,685,840,896/2,614,639,502
  6. Step 6: Final answer
    x = 12,003,821,522.50

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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.