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Finding the Third Proportional to 2,358,875,106 and 5,118,722,271

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Solution

The third proportional to 2,358,875,106 and 5,118,722,271 is: 11,107,547,670.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358,875,106 : 5,118,722,271 = 5,118,722,271 : x
  2. Step 2: Convert to fraction form
    2,358,875,106/5,118,722,271 = 5,118,722,271/x
  3. Step 3: Cross multiply
    2,358,875,106x = 5,118,722,271 × 5,118,722,271
  4. Step 4: Simplify right side
    2,358,875,106x = 26,201,317,687,631,396,864
  5. Step 5: Solve for x
    x = 26,201,317,687,631,396,864/2,358,875,106
  6. Step 6: Final answer
    x = 11,107,547,670.07

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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.