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Finding the Third Proportional to 973,398,462,672 and 1,430,938,921,367

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Solution

The third proportional to 973,398,462,672 and 1,430,938,921,367 is: 2,103,543,692,746.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,398,462,672 : 1,430,938,921,367 = 1,430,938,921,367 : x
  2. Step 2: Convert to fraction form
    973,398,462,672/1,430,938,921,367 = 1,430,938,921,367/x
  3. Step 3: Cross multiply
    973,398,462,672x = 1,430,938,921,367 × 1,430,938,921,367
  4. Step 4: Simplify right side
    973,398,462,672x = 2,047,586,196,682,953,415,720,960
  5. Step 5: Solve for x
    x = 2,047,586,196,682,953,415,720,960/973,398,462,672
  6. Step 6: Final answer
    x = 2,103,543,692,746.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.