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Finding the Third Proportional to 369,437,595.75 and 803,177,851.50

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Solution

The third proportional to 369,437,595.75 and 803,177,851.50 is: 1,746,153,257.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,437,595.75 : 803,177,851.50 = 803,177,851.50 : x
  2. Step 2: Convert to fraction form
    369,437,595.75/803,177,851.50 = 803,177,851.50/x
  3. Step 3: Cross multiply
    369,437,595.75x = 803,177,851.50 × 803,177,851.50
  4. Step 4: Simplify right side
    369,437,595.75x = 645,094,661,140,156,032
  5. Step 5: Solve for x
    x = 645,094,661,140,156,032/369,437,595.75
  6. Step 6: Final answer
    x = 1,746,153,257.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.