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Finding the Third Proportional to 616,155,178.75 and 1,370,073,861.25

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Solution

The third proportional to 616,155,178.75 and 1,370,073,861.25 is: 3,046,476,683.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,155,178.75 : 1,370,073,861.25 = 1,370,073,861.25 : x
  2. Step 2: Convert to fraction form
    616,155,178.75/1,370,073,861.25 = 1,370,073,861.25/x
  3. Step 3: Cross multiply
    616,155,178.75x = 1,370,073,861.25 × 1,370,073,861.25
  4. Step 4: Simplify right side
    616,155,178.75x = 1,877,102,385,280,484,352
  5. Step 5: Solve for x
    x = 1,877,102,385,280,484,352/616,155,178.75
  6. Step 6: Final answer
    x = 3,046,476,683.18

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.