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Finding the Third Proportional to 5,312,934,797 and 11,626,710,049

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Solution

The third proportional to 5,312,934,797 and 11,626,710,049 is: 25,443,637,411.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312,934,797 : 11,626,710,049 = 11,626,710,049 : x
  2. Step 2: Convert to fraction form
    5,312,934,797/11,626,710,049 = 11,626,710,049/x
  3. Step 3: Cross multiply
    5,312,934,797x = 11,626,710,049 × 11,626,710,049
  4. Step 4: Simplify right side
    5,312,934,797x = 135,180,386,563,517,579,264
  5. Step 5: Solve for x
    x = 135,180,386,563,517,579,264/5,312,934,797
  6. Step 6: Final answer
    x = 25,443,637,411.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.