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Finding the Third Proportional to 1,227,370,830.75 and 1,871,699,908.50

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Solution

The third proportional to 1,227,370,830.75 and 1,871,699,908.50 is: 2,854,280,434.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227,370,830.75 : 1,871,699,908.50 = 1,871,699,908.50 : x
  2. Step 2: Convert to fraction form
    1,227,370,830.75/1,871,699,908.50 = 1,871,699,908.50/x
  3. Step 3: Cross multiply
    1,227,370,830.75x = 1,871,699,908.50 × 1,871,699,908.50
  4. Step 4: Simplify right side
    1,227,370,830.75x = 3,503,260,547,478,908,416
  5. Step 5: Solve for x
    x = 3,503,260,547,478,908,416/1,227,370,830.75
  6. Step 6: Final answer
    x = 2,854,280,434.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.