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Finding the Third Proportional to 1,533,812,004 and 3,312,788,166

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Solution

The third proportional to 1,533,812,004 and 3,312,788,166 is: 7,155,091,630.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533,812,004 : 3,312,788,166 = 3,312,788,166 : x
  2. Step 2: Convert to fraction form
    1,533,812,004/3,312,788,166 = 3,312,788,166/x
  3. Step 3: Cross multiply
    1,533,812,004x = 3,312,788,166 × 3,312,788,166
  4. Step 4: Simplify right side
    1,533,812,004x = 10,974,565,432,789,643,264
  5. Step 5: Solve for x
    x = 10,974,565,432,789,643,264/1,533,812,004
  6. Step 6: Final answer
    x = 7,155,091,630.64

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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.