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Finding the Third Proportional to 2,735,908,201.50 and 5,547,946,248

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Solution

The third proportional to 2,735,908,201.50 and 5,547,946,248 is: 11,250,270,587.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735,908,201.50 : 5,547,946,248 = 5,547,946,248 : x
  2. Step 2: Convert to fraction form
    2,735,908,201.50/5,547,946,248 = 5,547,946,248/x
  3. Step 3: Cross multiply
    2,735,908,201.50x = 5,547,946,248 × 5,547,946,248
  4. Step 4: Simplify right side
    2,735,908,201.50x = 30,779,707,570,697,277,440
  5. Step 5: Solve for x
    x = 30,779,707,570,697,277,440/2,735,908,201.50
  6. Step 6: Final answer
    x = 11,250,270,587.96

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.