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Finding the Third Proportional to 726,838,397 and 1,585,226,894.50

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Solution

The third proportional to 726,838,397 and 1,585,226,894.50 is: 3,457,363,173.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,838,397 : 1,585,226,894.50 = 1,585,226,894.50 : x
  2. Step 2: Convert to fraction form
    726,838,397/1,585,226,894.50 = 1,585,226,894.50/x
  3. Step 3: Cross multiply
    726,838,397x = 1,585,226,894.50 × 1,585,226,894.50
  4. Step 4: Simplify right side
    726,838,397x = 2,512,944,307,046,114,304
  5. Step 5: Solve for x
    x = 2,512,944,307,046,114,304/726,838,397
  6. Step 6: Final answer
    x = 3,457,363,173.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.