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Finding the Third Proportional to 429,742,813.50 and 920,748,755.25

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Solution

The third proportional to 429,742,813.50 and 920,748,755.25 is: 1,972,757,294.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,742,813.50 : 920,748,755.25 = 920,748,755.25 : x
  2. Step 2: Convert to fraction form
    429,742,813.50/920,748,755.25 = 920,748,755.25/x
  3. Step 3: Cross multiply
    429,742,813.50x = 920,748,755.25 × 920,748,755.25
  4. Step 4: Simplify right side
    429,742,813.50x = 847,778,270,294,424,448
  5. Step 5: Solve for x
    x = 847,778,270,294,424,448/429,742,813.50
  6. Step 6: Final answer
    x = 1,972,757,294.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.