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Finding the Third Proportional to 119,962,427,069 and 249,854,073,664

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Solution

The third proportional to 119,962,427,069 and 249,854,073,664 is: 520,388,422,039.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,962,427,069 : 249,854,073,664 = 249,854,073,664 : x
  2. Step 2: Convert to fraction form
    119,962,427,069/249,854,073,664 = 249,854,073,664/x
  3. Step 3: Cross multiply
    119,962,427,069x = 249,854,073,664 × 249,854,073,664
  4. Step 4: Simplify right side
    119,962,427,069x = 62,427,058,126,495,535,857,664
  5. Step 5: Solve for x
    x = 62,427,058,126,495,535,857,664/119,962,427,069
  6. Step 6: Final answer
    x = 520,388,422,039.75

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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.