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Finding the Third Proportional to 39,569,829,377 and 85,338,211,618

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Solution

The third proportional to 39,569,829,377 and 85,338,211,618 is: 184,044,522,729.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,569,829,377 : 85,338,211,618 = 85,338,211,618 : x
  2. Step 2: Convert to fraction form
    39,569,829,377/85,338,211,618 = 85,338,211,618/x
  3. Step 3: Cross multiply
    39,569,829,377x = 85,338,211,618 × 85,338,211,618
  4. Step 4: Simplify right side
    39,569,829,377x = 7,282,610,362,158,550,089,728
  5. Step 5: Solve for x
    x = 7,282,610,362,158,550,089,728/39,569,829,377
  6. Step 6: Final answer
    x = 184,044,522,729.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.