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Finding the Third Proportional to 10,778,595,232 and 23,589,113,618

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Solution

The third proportional to 10,778,595,232 and 23,589,113,618 is: 51,625,120,834.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,778,595,232 : 23,589,113,618 = 23,589,113,618 : x
  2. Step 2: Convert to fraction form
    10,778,595,232/23,589,113,618 = 23,589,113,618/x
  3. Step 3: Cross multiply
    10,778,595,232x = 23,589,113,618 × 23,589,113,618
  4. Step 4: Simplify right side
    10,778,595,232x = 556,446,281,282,913,042,432
  5. Step 5: Solve for x
    x = 556,446,281,282,913,042,432/10,778,595,232
  6. Step 6: Final answer
    x = 51,625,120,834.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.