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Finding the Third Proportional to 2,013,534,699 and 4,746,461,181

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Solution

The third proportional to 2,013,534,699 and 4,746,461,181 is: 11,188,728,832.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013,534,699 : 4,746,461,181 = 4,746,461,181 : x
  2. Step 2: Convert to fraction form
    2,013,534,699/4,746,461,181 = 4,746,461,181/x
  3. Step 3: Cross multiply
    2,013,534,699x = 4,746,461,181 × 4,746,461,181
  4. Step 4: Simplify right side
    2,013,534,699x = 22,528,893,742,739,914,752
  5. Step 5: Solve for x
    x = 22,528,893,742,739,914,752/2,013,534,699
  6. Step 6: Final answer
    x = 11,188,728,832.90

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.