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Finding the Third Proportional to 3,808,547,984 and 5,882,616,300

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Solution

The third proportional to 3,808,547,984 and 5,882,616,300 is: 9,086,185,779.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808,547,984 : 5,882,616,300 = 5,882,616,300 : x
  2. Step 2: Convert to fraction form
    3,808,547,984/5,882,616,300 = 5,882,616,300/x
  3. Step 3: Cross multiply
    3,808,547,984x = 5,882,616,300 × 5,882,616,300
  4. Step 4: Simplify right side
    3,808,547,984x = 34,605,174,533,025,689,600
  5. Step 5: Solve for x
    x = 34,605,174,533,025,689,600/3,808,547,984
  6. Step 6: Final answer
    x = 9,086,185,779.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.