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Finding the Third Proportional to 565,173,030 and 763,358,834

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Solution

The third proportional to 565,173,030 and 763,358,834 is: 1,031,041,253.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,173,030 : 763,358,834 = 763,358,834 : x
  2. Step 2: Convert to fraction form
    565,173,030/763,358,834 = 763,358,834/x
  3. Step 3: Cross multiply
    565,173,030x = 763,358,834 × 763,358,834
  4. Step 4: Simplify right side
    565,173,030x = 582,716,709,445,839,616
  5. Step 5: Solve for x
    x = 582,716,709,445,839,616/565,173,030
  6. Step 6: Final answer
    x = 1,031,041,253.77

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.