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Finding the Third Proportional to 3,148,623,414 and 7,289,256,271.50

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Solution

The third proportional to 3,148,623,414 and 7,289,256,271.50 is: 16,875,075,232.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148,623,414 : 7,289,256,271.50 = 7,289,256,271.50 : x
  2. Step 2: Convert to fraction form
    3,148,623,414/7,289,256,271.50 = 7,289,256,271.50/x
  3. Step 3: Cross multiply
    3,148,623,414x = 7,289,256,271.50 × 7,289,256,271.50
  4. Step 4: Simplify right side
    3,148,623,414x = 53,133,256,991,602,081,792
  5. Step 5: Solve for x
    x = 53,133,256,991,602,081,792/3,148,623,414
  6. Step 6: Final answer
    x = 16,875,075,232.99

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.