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Finding the Third Proportional to 1,365,886,862 and 2,938,935,688

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Solution

The third proportional to 1,365,886,862 and 2,938,935,688 is: 6,323,615,241.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365,886,862 : 2,938,935,688 = 2,938,935,688 : x
  2. Step 2: Convert to fraction form
    1,365,886,862/2,938,935,688 = 2,938,935,688/x
  3. Step 3: Cross multiply
    1,365,886,862x = 2,938,935,688 × 2,938,935,688
  4. Step 4: Simplify right side
    1,365,886,862x = 8,637,342,978,200,033,280
  5. Step 5: Solve for x
    x = 8,637,342,978,200,033,280/1,365,886,862
  6. Step 6: Final answer
    x = 6,323,615,241.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.