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Finding the Third Proportional to 9,712,974,740 and 20,899,100,968

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Solution

The third proportional to 9,712,974,740 and 20,899,100,968 is: 44,967,935,463.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712,974,740 : 20,899,100,968 = 20,899,100,968 : x
  2. Step 2: Convert to fraction form
    9,712,974,740/20,899,100,968 = 20,899,100,968/x
  3. Step 3: Cross multiply
    9,712,974,740x = 20,899,100,968 × 20,899,100,968
  4. Step 4: Simplify right side
    9,712,974,740x = 436,772,421,270,658,547,712
  5. Step 5: Solve for x
    x = 436,772,421,270,658,547,712/9,712,974,740
  6. Step 6: Final answer
    x = 44,967,935,463.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.