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Finding the Third Proportional to 9,572,782,640 and 14,704,966,206

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Solution

The third proportional to 9,572,782,640 and 14,704,966,206 is: 22,588,628,536.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572,782,640 : 14,704,966,206 = 14,704,966,206 : x
  2. Step 2: Convert to fraction form
    9,572,782,640/14,704,966,206 = 14,704,966,206/x
  3. Step 3: Cross multiply
    9,572,782,640x = 14,704,966,206 × 14,704,966,206
  4. Step 4: Simplify right side
    9,572,782,640x = 216,236,031,119,602,024,448
  5. Step 5: Solve for x
    x = 216,236,031,119,602,024,448/9,572,782,640
  6. Step 6: Final answer
    x = 22,588,628,536.92

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