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Finding the Third Proportional to 9,572,782,642 and 14,704,966,209

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Solution

The third proportional to 9,572,782,642 and 14,704,966,209 is: 22,588,628,541.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572,782,642 : 14,704,966,209 = 14,704,966,209 : x
  2. Step 2: Convert to fraction form
    9,572,782,642/14,704,966,209 = 14,704,966,209/x
  3. Step 3: Cross multiply
    9,572,782,642x = 14,704,966,209 × 14,704,966,209
  4. Step 4: Simplify right side
    9,572,782,642x = 216,236,031,207,831,830,528
  5. Step 5: Solve for x
    x = 216,236,031,207,831,830,528/9,572,782,642
  6. Step 6: Final answer
    x = 22,588,628,541.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.