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Finding the Third Proportional to 1,756,301,047.73 and 3,834,440,303.55

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Solution

The third proportional to 1,756,301,047.73 and 3,834,440,303.55 is: 8,371,533,149.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756,301,047.73 : 3,834,440,303.55 = 3,834,440,303.55 : x
  2. Step 2: Convert to fraction form
    1,756,301,047.73/3,834,440,303.55 = 3,834,440,303.55/x
  3. Step 3: Cross multiply
    1,756,301,047.73x = 3,834,440,303.55 × 3,834,440,303.55
  4. Step 4: Simplify right side
    1,756,301,047.73x = 14,702,932,441,525,426,176
  5. Step 5: Solve for x
    x = 14,702,932,441,525,426,176/1,756,301,047.73
  6. Step 6: Final answer
    x = 8,371,533,149.45

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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.