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Finding the Third Proportional to 973,398,462,674 and 1,430,938,921,370

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Solution

The third proportional to 973,398,462,674 and 1,430,938,921,370 is: 2,103,543,692,751.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,398,462,674 : 1,430,938,921,370 = 1,430,938,921,370 : x
  2. Step 2: Convert to fraction form
    973,398,462,674/1,430,938,921,370 = 1,430,938,921,370/x
  3. Step 3: Cross multiply
    973,398,462,674x = 1,430,938,921,370 × 1,430,938,921,370
  4. Step 4: Simplify right side
    973,398,462,674x = 2,047,586,196,691,539,055,345,664
  5. Step 5: Solve for x
    x = 2,047,586,196,691,539,055,345,664/973,398,462,674
  6. Step 6: Final answer
    x = 2,103,543,692,751.13

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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.