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Finding the Third Proportional to 347,197,964 and 528,936,601.50

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Solution

The third proportional to 347,197,964 and 528,936,601.50 is: 805,805,210.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,197,964 : 528,936,601.50 = 528,936,601.50 : x
  2. Step 2: Convert to fraction form
    347,197,964/528,936,601.50 = 528,936,601.50/x
  3. Step 3: Cross multiply
    347,197,964x = 528,936,601.50 × 528,936,601.50
  4. Step 4: Simplify right side
    347,197,964x = 279,773,928,406,369,792
  5. Step 5: Solve for x
    x = 279,773,928,406,369,792/347,197,964
  6. Step 6: Final answer
    x = 805,805,210.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.