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Finding the Third Proportional to 283,618,995.75 and 616,931,005.50

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Solution

The third proportional to 283,618,995.75 and 616,931,005.50 is: 1,341,954,774.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,618,995.75 : 616,931,005.50 = 616,931,005.50 : x
  2. Step 2: Convert to fraction form
    283,618,995.75/616,931,005.50 = 616,931,005.50/x
  3. Step 3: Cross multiply
    283,618,995.75x = 616,931,005.50 × 616,931,005.50
  4. Step 4: Simplify right side
    283,618,995.75x = 380,603,865,547,241,024
  5. Step 5: Solve for x
    x = 380,603,865,547,241,024/283,618,995.75
  6. Step 6: Final answer
    x = 1,341,954,774.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.