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Finding the Third Proportional to 846,918,073 and 1,834,535,090

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Solution

The third proportional to 846,918,073 and 1,834,535,090 is: 3,973,842,457.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,918,073 : 1,834,535,090 = 1,834,535,090 : x
  2. Step 2: Convert to fraction form
    846,918,073/1,834,535,090 = 1,834,535,090/x
  3. Step 3: Cross multiply
    846,918,073x = 1,834,535,090 × 1,834,535,090
  4. Step 4: Simplify right side
    846,918,073x = 3,365,518,996,441,308,160
  5. Step 5: Solve for x
    x = 3,365,518,996,441,308,160/846,918,073
  6. Step 6: Final answer
    x = 3,973,842,457.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.