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Finding the Third Proportional to 605,688,488.50 and 1,314,748,478

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Solution

The third proportional to 605,688,488.50 and 1,314,748,478 is: 2,853,882,141.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,688,488.50 : 1,314,748,478 = 1,314,748,478 : x
  2. Step 2: Convert to fraction form
    605,688,488.50/1,314,748,478 = 1,314,748,478/x
  3. Step 3: Cross multiply
    605,688,488.50x = 1,314,748,478 × 1,314,748,478
  4. Step 4: Simplify right side
    605,688,488.50x = 1,728,563,560,403,316,480
  5. Step 5: Solve for x
    x = 1,728,563,560,403,316,480/605,688,488.50
  6. Step 6: Final answer
    x = 2,853,882,141.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.