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Finding the Third Proportional to 9,064,259,660.25 and 19,506,014,802.56

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Solution

The third proportional to 9,064,259,660.25 and 19,506,014,802.56 is: 41,976,358,548.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,064,259,660.25 : 19,506,014,802.56 = 19,506,014,802.56 : x
  2. Step 2: Convert to fraction form
    9,064,259,660.25/19,506,014,802.56 = 19,506,014,802.56/x
  3. Step 3: Cross multiply
    9,064,259,660.25x = 19,506,014,802.56 × 19,506,014,802.56
  4. Step 4: Simplify right side
    9,064,259,660.25x = 380,484,613,477,767,839,744
  5. Step 5: Solve for x
    x = 380,484,613,477,767,839,744/9,064,259,660.25
  6. Step 6: Final answer
    x = 41,976,358,548.77

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