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Finding the Third Proportional to 688,232,271 and 1,052,098,048.50

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Solution

The third proportional to 688,232,271 and 1,052,098,048.50 is: 1,608,338,275.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,232,271 : 1,052,098,048.50 = 1,052,098,048.50 : x
  2. Step 2: Convert to fraction form
    688,232,271/1,052,098,048.50 = 1,052,098,048.50/x
  3. Step 3: Cross multiply
    688,232,271x = 1,052,098,048.50 × 1,052,098,048.50
  4. Step 4: Simplify right side
    688,232,271x = 1,106,910,303,657,508,352
  5. Step 5: Solve for x
    x = 1,106,910,303,657,508,352/688,232,271
  6. Step 6: Final answer
    x = 1,608,338,275.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.