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Finding the Third Proportional to 6,430,442,528 and 13,791,305,934

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Solution

The third proportional to 6,430,442,528 and 13,791,305,934 is: 29,578,076,242.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430,442,528 : 13,791,305,934 = 13,791,305,934 : x
  2. Step 2: Convert to fraction form
    6,430,442,528/13,791,305,934 = 13,791,305,934/x
  3. Step 3: Cross multiply
    6,430,442,528x = 13,791,305,934 × 13,791,305,934
  4. Step 4: Simplify right side
    6,430,442,528x = 190,200,119,365,183,602,688
  5. Step 5: Solve for x
    x = 190,200,119,365,183,602,688/6,430,442,528
  6. Step 6: Final answer
    x = 29,578,076,242.34

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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.