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Finding the Third Proportional to 429,742,824 and 920,748,776

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Solution

The third proportional to 429,742,824 and 920,748,776 is: 1,972,757,335.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,742,824 : 920,748,776 = 920,748,776 : x
  2. Step 2: Convert to fraction form
    429,742,824/920,748,776 = 920,748,776/x
  3. Step 3: Cross multiply
    429,742,824x = 920,748,776 × 920,748,776
  4. Step 4: Simplify right side
    429,742,824x = 847,778,308,505,498,112
  5. Step 5: Solve for x
    x = 847,778,308,505,498,112/429,742,824
  6. Step 6: Final answer
    x = 1,972,757,335.69

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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.