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Finding the Third Proportional to 4,502,378,526 and 9,779,816,001

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Solution

The third proportional to 4,502,378,526 and 9,779,816,001 is: 21,243,171,905.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,502,378,526 : 9,779,816,001 = 9,779,816,001 : x
  2. Step 2: Convert to fraction form
    4,502,378,526/9,779,816,001 = 9,779,816,001/x
  3. Step 3: Cross multiply
    4,502,378,526x = 9,779,816,001 × 9,779,816,001
  4. Step 4: Simplify right side
    4,502,378,526x = 95,644,801,013,415,624,704
  5. Step 5: Solve for x
    x = 95,644,801,013,415,624,704/4,502,378,526
  6. Step 6: Final answer
    x = 21,243,171,905.94

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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.