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Finding the Third Proportional to 856,312,749 and 1,362,576,070.13

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Solution

The third proportional to 856,312,749 and 1,362,576,070.13 is: 2,168,148,902.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,312,749 : 1,362,576,070.13 = 1,362,576,070.13 : x
  2. Step 2: Convert to fraction form
    856,312,749/1,362,576,070.13 = 1,362,576,070.13/x
  3. Step 3: Cross multiply
    856,312,749x = 1,362,576,070.13 × 1,362,576,070.13
  4. Step 4: Simplify right side
    856,312,749x = 1,856,613,546,877,288,960
  5. Step 5: Solve for x
    x = 1,856,613,546,877,288,960/856,312,749
  6. Step 6: Final answer
    x = 2,168,148,902.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.