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Finding the Third Proportional to 9,392,875,398 and 20,130,312,537

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Solution

The third proportional to 9,392,875,398 and 20,130,312,537 is: 43,142,218,507.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,392,875,398 : 20,130,312,537 = 20,130,312,537 : x
  2. Step 2: Convert to fraction form
    9,392,875,398/20,130,312,537 = 20,130,312,537/x
  3. Step 3: Cross multiply
    9,392,875,398x = 20,130,312,537 × 20,130,312,537
  4. Step 4: Simplify right side
    9,392,875,398x = 405,229,482,837,299,363,840
  5. Step 5: Solve for x
    x = 405,229,482,837,299,363,840/9,392,875,398
  6. Step 6: Final answer
    x = 43,142,218,507.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.