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Finding the Third Proportional to 119,962,427,049 and 249,854,073,628.50

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Solution

The third proportional to 119,962,427,049 and 249,854,073,628.50 is: 520,388,421,978.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,962,427,049 : 249,854,073,628.50 = 249,854,073,628.50 : x
  2. Step 2: Convert to fraction form
    119,962,427,049/249,854,073,628.50 = 249,854,073,628.50/x
  3. Step 3: Cross multiply
    119,962,427,049x = 249,854,073,628.50 × 249,854,073,628.50
  4. Step 4: Simplify right side
    119,962,427,049x = 62,427,058,108,755,903,250,432
  5. Step 5: Solve for x
    x = 62,427,058,108,755,903,250,432/119,962,427,049
  6. Step 6: Final answer
    x = 520,388,421,978.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.