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Finding the Third Proportional to 565,173,050.63 and 763,358,862.94

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Solution

The third proportional to 565,173,050.63 and 763,358,862.94 is: 1,031,041,294.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,173,050.63 : 763,358,862.94 = 763,358,862.94 : x
  2. Step 2: Convert to fraction form
    565,173,050.63/763,358,862.94 = 763,358,862.94/x
  3. Step 3: Cross multiply
    565,173,050.63x = 763,358,862.94 × 763,358,862.94
  4. Step 4: Simplify right side
    565,173,050.63x = 582,716,753,625,232,896
  5. Step 5: Solve for x
    x = 582,716,753,625,232,896/565,173,050.63
  6. Step 6: Final answer
    x = 1,031,041,294.31

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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.